History of Approximation Theory: Articles on HAT

The following are papers concerning various topics in the history of approximation theory.

Akhiezer, N. I., Academician S. N. Bernstein and his Work on the Constructive Theory of Functions (in Russian), Izdat. Harkov. Gosudarstv. Univ., Kharkov, 1955; translated into German as Das Akademiemitglied S. N. Bernstein und seine Arbeiten zur konstruktiven Funktionentheorie, translated and with a preface by Ralitza K. Kovacheva and Heinz H. Gonska. in Mitt. Math. Sem. Giessen No. 240 (2000), xiv + 97 pages. The original is an expanded form of the survey paper by N. I. Akhiezer with the same title which appeared in Uspekhi Mat. Nauk (N.S.) 6 (1951), no. 1(41), 3-67, which was written by Akhieser on the occasion of Bernstein's 70th birthday.

Akhiezer, N. I., List of Publications. A list of publications of Naum Il'ich Akhiezer. We do not know how exact this list is.

Aleksandrov, P. S., N. I. Akhiezer, B. V. Gnedenko, and A. N. Kolmogorov, Sergei Natanovich Bernstein: Obituary, (in Russian Uspekhi Mat. Nauk 24 (3) (1969), 211-218; translation in Russian Math. Surveys 24 (3) (1969), 169-176.

Anderson, J. M., Obituary. The short obituary to J. Milne Anderson that appeared in Constructive Approximation 43 (2) (2016).

Andreev, A., V. I. Berdyshev, B. Bojanov, B. S Kashin, S. V. Konyagin, S. M. Nikolskii, K. I. Oskolkov, P. Petrushev, Bl. Sendov, S. A. Telyakovskii, and V. N. Temlyakov, In memory of Sergei Borisovich Stechkin [1920-1995], East J. Approx. 2 (1996), 131-133.

Aptekarev, A. I., G. López Lagomasino, E. B. Saff, V. Totik, and H. Stahl, Andrei Aleksandrovich Gonchar (on his 80th birthday), Uspekhi Mat. Nauk 66 (2011), 197-204. English transl. in Russian Math. Surveys 66 (2011), 1209-1216, see here.

Aptekarev, A., P. Nevai and V. Totik In memoriam: Herbert Stahl August 3, 1942-April 22, 2013, J. Approx. Theory 183 (2014), A1-A26. For those with access, this article may be viewed at Science Direct.

Askey, R., In Memoriam. Antoni Zygmund (December 26, 1900 - May 30, 1992), J. Approx. Theory 71 (1992), 1-2.

Askey, R., Remembering Paul Turán, J. Approx. Theory 86 (1996), 253-254. For those with access, this article may be viewed at Science Direct.

Askey, R., and C. de Boor, In Memoriam: I. J. Schoenberg (1903-1990), J. Approx. Theory 63 (1990), 1-2. For those with access, this article may be viewed at Science Direct.

Askey, R. A., and P. Nevai, Gabor Szegö: 1895--1985 , Math. Intelligencer 18, 3 (1996), 10-22, and in Hungarian, Mat. Lapok 3 (1993), 13-32.

Babenko, Y., In Memoriam Anatolyi A. Ligun.

Babenko, V. F., A. A. Ligun, V. P. Motornyi, N. A. Nazarenko and V. L. Velikin, In Memory of Nikolai Pavlovich Korneichuk. A version has appeared in East Journal of Approximation, 10(1-2), 2004, i-vi.

Babich, V. M., A. M. Vershik, S. V. Videnskii, O. L. Vinogradov, I. K. Daugavet, N. Yu. Dodonov, V. V. Zhuk, B. M. Makarov, A. N. Podkorutov, Yu. G. Reshetnyak, M. A. Skopina, V. L. Fainshmidt, V. P. Havin, and N. A. Shirokov, Garal'd Isidorovich Natanson. (Russian) Uspekhi Mat. Nauk 59 (2004), no. 4 (358), 181-185; translation in Russian Math. Surveys 59 (2004), no. 4, 771-776, in English (for those with access).

Basharin, G. P., A. N. Langville and V. A. Naumov, The life and work of A.A. Markov, Linear Algebra and its Applications 386 (2004) 3--26. This article should be read with some caution, according to its review in Zentralblatt Math. For those with access, this article may be viewed at Science Direct.

Belinsky, E. S., List of Publications of Eduard S. Belinsky.

Berdyshev, B. I., V. A. Kaminskii, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, V. A. Shmatkov, S. A. Telyakovskii and I. G. Tsar'kov, Alexandr L'vovich Garkavi (obituary), Russian Math. Surveys 63 (2008), 547-549.

Boas, R. P., Extremal problems for polynomials, Amer. Math. Monthly 85 (1978), 473-475. A short pleasant expository note about the origins of the Markov inequality. This article may be viewed at JSTOR.

Bogoljubov, A. N., A. T. Grigorʹjan, G. I. Drinfelʹd, and A. P. Juškevič, Ja. L. Geronimus (on the occasion of his seventy-fifth birthday), (Russian) Voprosy Istor. Estestvoznan. i Tehn. Vyp. 2(43) (1973), 71-72.

Bojanov, B. D., Lubomir Tschakaloff (1886-1963), Serdica Mathematical Journal 33 (2007), iii-iv.

Bojanov, B. D., Nikola Obreshkoff (1896-1963), Serdica Mathematical Journal 33 (2007), v-vi.

Bojanov, B., Blagovest Sendov and his contribution to approximation theory, Approximation theory, DARBA, Sofia (2002), ii-xi.

Bolibrukh, A. A., A. G. Vitushkin, V. S. Vladimirov, E. F. Mischenko, S. P. Novikov, Yu. S. Osipov, A. G. Sergeev, P. L. Ul’yanov, L. D. Fadeev, and E. M. Chirka, Andrei Aleksandrovich Gonchar (on his 70th birthday), Uspekhi Mat. Nauk 57 (2001), 185–190. English transl. in Russian Math. Surveys 57 (2001), 191–198, see here.

de Boor, C., and P. Nevai, In memoriam George G. Lorentz (1910-2006), J. Approx. Theory 156 (2009), 1-27. A corrected version appeared in J. Approx. Theory 162 (2010), 465-491. For those with access, this article may be viewed at Science Direct.

de Boor, C., and A. Pinkus, The B-spline recurrence relations of Chakalov and Popoviciu, J. Approx. Theory 124 (2003), 115-123. This article may be viewed at Science Direct.

Borwein, P., and T. Erdélyi, Polynomials and Polynomial Inequalities, Springer-Verlag, New York, 1995. Contains a great deal of information on the history of approximation theory scattered throughout the text.

Braess, D., Helmut Werner, Computing 36 (1986), 181-182. For those with access, this article can be found here.

Braess, D., and R. Schaback, Helmut Werner, Jahresbericht DMV 89 (1987), 179-195. This article can be found in this issue of the Jahresbericht. (The article starts on page 39 of this pdf file.)

Brezinski, C., Historical Perspective on Interpolation, Approximation and Quadrature, in Handbook of Numerical Analysis, Volume III, eds. P. G. Ciarlet and J. L. Lions, p. 3-46, North Holland, 1994.

Brudnyi, Y., An excerpt concerning Timan's life from: Timan's type result on approximation by algebraic polynomials, in Operator Theory, Advances and Applications, Vol.98, Birkhäuser Verlag, Basel, 1997, pp. 92-101.

Bruins, E. M., On the history of approximation, in Constructive Function Theory '77, Sofia, 1980, 275-280.

Buhmann, M. D., Michael J. D. Powell's work in approximation theory and optimisation, J. Approx. Theory 238 (2019), 3-25.

Burkill, J. C., Charles-Joseph de la Vallée Poussin, J. London Math. Soc. 39 (1964), 165-175.

Butzer, P. L., An outline of the life and work of E. B. Christoffel (1829-1900), Historia Math. 8 (1981), 243-276. For those with access, this article may be viewed at Science Direct.

Butzer, P. L., A retrospective on 60 years of approximation theory and associated fields, J. Approx. Theory, 160 (2009), 3-18. For those with access, this article may be viewed at Science Direct.

Butzer, P., and F. Jongmans, P. L. Chebyshev (1821-1894), a guide to his life and work, J. Approx. Theory 96 (1999), 111-138. For those with access, this article may be viewed at Science Direct.

Butzer, P. L., and F. Jongmans, P. L. Chebyshev (1821-1894) and his contacts with Western European scientists, Historia Math. 16 (1989), 46-68. For those with access, this article may be viewed at Science Direct.

Butzer, P. L., and R. J. Nessel, Aspects of de La Vallée Poussin's work in approximation and its influence, Archive Hist. Exact Sciences 46 (1993), 67-95. For those with access, this article may be viewed at SpringerLink.

Butzer, P. L., G. Schmeisser, and R. L. Stens, James Gourlay Clunie, 1926-2013. Excerpted from their paper: The classical and approximate sampling theorems and their equivalence for entire functions of exponential type, J. Approx. Theory 179 (2014), 94-111.

Butzer, P. L., G. Schmeisser, and R. L. Stens, Qazi Ibadur Rahman, 1934-2013. Excerpted from their paper: The classical and approximate sampling theorems and their equivalence for entire functions of exponential type, J. Approx. Theory 179 (2014), 94-111.

Butzer, P. L., M. Schmidt, and E. L. Stark, Observations on the history of central B-splines, Archive Hist. Exact Sciences 39 (1988), 137-156. For those with access, this article may be viewed at SpringerLink

Butzer, P. L., and E. L. Stark, The singular integral of Landau alias the Landau polynomials - Placement and impact of Landau's article "Über die Approximation einer stetigen Funktion durch eine ganze rationale Funktion", in Edmund Landau, Collected Works, Volume 3, eds. P. T. Bateman, L. Mirsky, H. L. Montgomery, W. Schall, I. J. Schoenberg, W. Schwarz, and H. Wefelscheid, 83-111, Thales-Verlag, Essen.

Butzer, P. L., and R. L. Stens, Sampling theory for not necessarily band-limited functions: a historical overview, SIAM Review 34 (1992), 40-53. For those with access, this article may be viewed electronically at SIAM Review and at JSTOR.

Chalmers, B. L., In Memoriam: Bruce L. Chalmers (1938-2016), J. Approx. Theory 208 (2016), 1-8. For those with access, this article may be viewed at Science Direct.

Cheney, E. W., Introduction to Approximation Theory, McGraw-Hill Book Co., New York, 1966. The notes at the end of this book, pages 224-233, are especially recommended.

Cheney, E. W., and J. Levesley, In Memoriam William Allan Light (1950-2002), J. Approx. Theory 123 (2003), 1-12. For those with access, this article may be viewed at Science Direct.

Cuyt, A., A bibliography of the works of Prof. Dr. H. Werner, J. Comp. and Applied Math. 19 (1987), 3-8. For those with access, this article can be viewed at Science Direct.

Dabrowski, K., and E. Hensz-Chadzynska, Józef Marcinkiewicz (1910-1940) in commemoration of the 60th anniversary of his death, in Fourier Analysis and Realted Topics, Banach Center Publications, Vol. 56, Polish Academy of Sciences, Warszawa, 2002.

Daepp, U, Gauthier, P., Gorkin, P., and G. Schmieder, Alice in Switzerland: The Life and Mathematics of Alice Roth, The Mathematical Intelligencer 27 (2005), 41-53. For those with access, this article may be viewed at Springerlink.

Deutsch, F., The convexity of Chebyshev sets in Hilbert space, in Topics in Polynomials of One and Several Variables and Their Applications, eds. Th. M. Rassias, H. M. Srivastava, and A.Yanushauskas, World Scientific Publ. Co., 1993, 143-150. A brief historical account of work on the open question of whether every Chebyshev set in a Hilbert space must be convex.

Deutsch, F., Best Approximation in Inner Product Spaces, CMS Book in Mathematics, Springer-Verlag, New York, 2001. Each chapter ends with an interesting and useful section of "Historical Notes".

Dimitrov, D., G. Nikolov, and G. Petrova, In Memoriam: Borislav D. Bojanov (1944–2009) East J. Approx. 15 (2009), 123-142.

Drensky, V., and S. Troyanski, 75th anniversary of Academician Blagovest Sendov, Serdica Math. J. 33 (2007), iii-iv.

Dzyadyk, V. K., Yu. A. Mitropol'skii, and A. M. Samoilenko, Evgenii Yakovlevich Remez (on the centenary of his birth) (in Ukrainian), Ukrain. Mat. Zh. 48 (1996), 285-286, translation in Ukrainian Math. J. 48 (1996), no. 2, 322–323.

Elliott, D., Lagrange interpolation - decline and fall?, Internat. J. Math. Edu. Sci. Tech. 10 (1979), 1-12.

Erdelyi, T., and P. Vértesi, In Memoriam: Paul Erdős (1913-1996), J. Approx. Theory 94 (1998), 1-41. The article also contains a bibliography of Erdős' work in approximation theory compiled by J. Szabados. For those with access, this article may be viewed at Science Direct.

Erdős, P., Some notes on P. Turán's mathematical work, J. Approx. Theory 29 (1980), 2-5.

Farouki, R. T., The Bernstein polynomial basis: a centennial retrospective, Comput. Aided Geom. Design 29 (2012), no. 6, 379–419.

Freud, G., Publications of Geza Freud in approximation theory, J. Approx. Theory 46 (1986), 9-15. For those with access, this may be viewed at Science Direct. For a commentary on this list of publications see the following note by J. Szabados about the work of G. Freud.

Garloff, J., A. P. Smith, Preface, in Special Issue on the Use of Bernstein Polynomials in Reliable Computing: A Centennial Anniversary of Reliable Computing 17 (2012), i-vi.

Gasca, M., and T. Sauer, On the history of multivariate polynomial interpolation. Numerical analysis 2000, Vol. II: Interpolation and extrapolation, J. Comput. Appl. Math. 122 (2000), 23-35. For those with access, this article may also be viewed at Science Direct.

Gautschi, W., A survey of Gauss-Christoffel quadrature formulae, in E. B. Christoffel, The Influence of his Work on Mathematics and the Physical Sciences, eds. P. L. Butzer, F. Feher, 72-147, Birkhäuser, Basel, 1981.

Golinskii, L., On the Scientific Legacy of Ya. L. Geronimus, Self-Similar Systems (Dubna, 1998), 273-281, Joint Inst. Nuclear Res., Dubna, 1999. An English translation by the author is here.

Goncharov, V. L., The Theory of Best Approximation of Functions, J. Approx. Theory 106 (2000), 2-57. This article, here translated into English, was originally published in 1945 in the collection The Scientific Heritage of P. L. Chebyshev. I. Mathematics, 122-172, Nauka. See also the commentary by V. M. Tikhomirov on pages 58-65 which follows the above article. For those with access, this article may be viewed at Science Direct. The commentary by V. M. Tikhomirov may be viewed atScience Direct.

Groetsch, C., Otto Szász

Grünwald, G., List of Publications.

Hart, W. L., Dunham Jackson, 1888-1946, Bull. Amer. Math. Soc. 54 (1948), 847-860.

Horvath, J., L'oeuvre mathématique de Marcel Riesz I, Cahiers du séminaire d'histoire des mathématiques, 3 (1982), 83-121.

Horvath, J., L'oeuvre mathématique de Marcel Riesz II, Cahiers du séminaire d'histoire des mathématiques, 4 (1983), 1-59.

Hsu, L. C., A survey of some recent developments of approximation theory in China, in Approximation Theory, IV (College Station, Tex., 1983), eds. C. K. Chui, L. L. Schumaker and J. D. Ward, 123-151, Academic Press, New York, 1983.

Ismail, M. E. H., and E. Koelink, In Memoriam: Mizan Rahman, J. Approx. Theory 201 (2016), 87-97. For those with access, this article may be viewed at Science Direct.

Ivanov, K., and P. Petrushev, Curriculum vitae and list of publications of Prof. Vasil Atanasov Popov, Serdica Math. J. 28(4) (2002), ii-xvi.

Jakimovski, A. and J. Szabados, In Memoriam: Ambikeshwar Sharma (1920-2003), J. Approx. Theory 131 (2004), 1-18. For those with access, this article may be viewed at Science Direct.

Kantorovich, L. V., and D. K. Faddeev, Isidor Pavlovich Natanson (on the fiftieth anniversary of his birth), (in Russian) Uspehi Mat. Nauk 11 (1956), no. 4 (70), 193-196.

Karlin, S., To I. J. Schoenberg and his mathematics, J. Approx. Theory 8 (1973), vi-ix.

Kotlyar, B. D., S. M. Nikolskii, V. G. Ponomarenko, V. M. Tikhomirov, V. N. Trofimov, and P. L. Ulyanov, Aleksandr Filippovich Timan, (Russian) Uspekhi Mat. Nauk 44 (1989), no. 3(267), 145-146; translation in Russian Math. Surveys 44 (1989) no. 3, 179-180. The English translation of this article can be viewed at IOPScience.

Kroó, A., P. Nevai, and V. Totik, In Memoriam: Franz Peherstorfer July 26, 1950–November 27, 2009, J. Approx. Theory 163 (2011), 689-706. For those with access, this article may be viewed at Science Direct.

Kroó, A., A. Pinkus, and Y. Xu, In Memoriam: Borislav D. Bojanov: 18 November 1944–8 April 2009, J. Approx. Theory 162 (2010), 1739-1765. For those with access, this article may be viewed at Science Direct.

Lacey, M., Kolmogorov Entropy of the Mixed Derivative Spaces, (On Eduard Belinsky).

Lachance, M., and W. Van Assche, In Memoriam, Joseph L. Ullman (1923-1995), J. Approx. Theory 162 (2010), 639-645. For those with access, this article may be viewed at Science Direct.

Liflyand, E., Eduard Belinsky, His Life and Mathematics.

López Lagomasino, G., A. Martínez-Finkelshtein, P. Nevai, and E. B. Saff, In Memoriam: Andrei Aleksandrovich Gonchar: November 21, 1931 – October 10, 2012, J. Approx. Theory 172 (2013), A1-A13. For those with access, this article may be viewed at Science Direct.

Lorentz, G. G., The work of G. G. Lorentz, J. Approx. Theory 13 (1975), 12-15. For those with access, this article may be viewed at Science Direct.

Lorentz, G. G., The work of P. Turán on interpolation and approximation, J. Approx. Theory 29 (1980), 6-10.

Lorentz, G. G., Superpositions, metric entropy, complexity of functions, widths, Bull. London Math. Soc. 22 (1990), 64-71. This is one of the articles within a series dedicated to thework of Andrei Nikolaevich Kolmogorov which appeared in Bull. London Math. Soc. 22 (1990), 31-100. See here for the full article.

Lorentz, G. G., Antoni Zygmund and his work, J. Approx. Theory 75 (1993), 1-7. For those with access, this article may be viewed at Science Direct.

Lorentz, G. G., Mathematics and Politics in the Soviet Union from 1928 to 1953, J. Approx. Theory 116 (2002), 169-223. For those with access, this article may be viewed at Science Direct.

Lubinsky, D. S., Some personal recollections of Oved Shisha, J. Approx. Theory 86 (1996), 3-5. For those with access, this article may be viewed at Science Direct.

Lyubich, Yu. I., Naum Il'ich Akhiezer, (in Russian) Teor. Funktsii Funktsional. Anal. i Prilozhen. 56 (1991), no. 4, 3-14; translation in J. Math. Sci. 76 (1995), no. 4, 2441–2451.

Maligranda, L., Józef Marcinkiewicz (1910-1940) - on the centenary of his birth, in Marcinkiewicz Centenary Volume, Banach Center Publications, Vol. 95, Polish Academy of Sciences, Warszawa, 2011.

Marchenko, V. A., Yu. A. Mitropol'skii, V. A. Pogorelov, A. M. Samoilenko, I. V. Skrypnik, E. Ya. Khruslov, Naum Il'ich Akhiezer (on the centenary of his birth), (in Russian Ukrain. Mat. Zh. 53 (2001), no. 3, 291-293; translation in Ukrainian Math. J. 53 (2001), no. 3, 333–335.

Marden, M., Homage to Walsh, J. Approx. Theory 5 (1972), ix-xiii.

Marden, M., Joseph L. Walsh in Memoriam, Bull. Amer. Math. Soc. 81 (1975), 45-65.

Meijering, E., A chronology of interpolation: From ancient astronomy to modern signal and image processing, Proceedings of the IEEE 90 (2002), 319-342.

Meinardus, G., and G. Nürnberger, In Memoriam: Lothar Collatz, J. Approx. Theory 65 (1991), 1-2. For those with access, this article may be viewed at Science Direct.

Meinardus, G., G. Nürnberger, Th. Riessinger, and G. Walz, The Work of Lothar Collatz in Approximation Theory, J. Approx. Theory 67 (1991), 119-128. For those with access, this article may be viewed at Science Direct.

Micchelli, C. A., On the work of Theodore J. Rivlin, in "The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin", Ann. Numer. Math. 4(1-4) (1997) viii-xiv.

Micchelli, C. A. and R. S. Varga, In Memoriam Theodore J. Rivlin (1926-2006), J. Approx. Theory 161 (2009), 1-8. For those with access, this article may be viewed at Science Direct.

Mitrpol'skii, Yu. A., V. K. Dzyadyk, and V. T. Gavrilyuk, Evgen'ii Yakovlevich Remez (on his 80th birthday), (inRussian) Ukrain. Mat. Zh. 28 (1976), 711; translation in Ukr. Math. J. 28 (1976), 553-554.

Mitrpol'skii, Yu. A., V. K. Dzyadyk, and V. T. Gavrilyuk, Evgen'ii Yakovlevich Remez (on the occasion of the ninetieth anniversary of his birth), (in Russian) Ukrain. Mat. Zh. 38 (1986), 539-540.

Nevai, P., Letter to a friend, J. Approx. Theory 46 (1986), 5-8. Biography of Geza Freud. For those with access, this article may be viewed at Science Direct.

Nevai, P., Geza Freud, Orthogonal Polynomials and Christoffel Functions (A Case Study), J. Approx. Theory 48 (1986), 3-167. For those with access, this article may be viewed at Science Direct.

Nikol'skii, S. M., A.A. Privalov and P.L. Ul'yanov, Pavel Petrovich Korovkin (on his seventieth birthday), Uspekhi Mat. Nauk 39:1 (1984), 179-180; translation in Russian Maths. Surveys 39:1 (1984), 209-211. This article in Russian can be viewed here, and in English (for those with access) here.

Nikol'skii, S. M., A.A. Privalov and P.L. Ul'yanov, Pavel Petrovich Korovkin (Obituary), Uspekhi Mat. Nauk 41:5 (1986), 155-156; translation in Russian Maths. Surveys 41:5 (1986), 119-121. This article in Russian can be viewed here, and in English (for those with access) here.

Nudel'man, A. A., On M. G. Krein's contribution to the moment problem, Ukrain. Mat. Zh. 46 (1994), 63–75; translation in Ukrainian Math. J. 46 (1994), 62-74.

Nürnberger, G., Professor Dr. Günter Meinardus celebrates his 80th birthday

Nürnberger, G., In memoriam Günter Meinardus (1926-2007), J. Approx. Theory, 162, 2010, 1-5, also includes a complete list of publications of Günter Meinardus.

Ortiz, E. L., and A. Pinkus, Herman Müntz: A Mathematician's Odyssey, The Mathematical Intelligencer 27 (2005), 22-31. For those with access, this article may also be found here.

Osilenker, B. P., M. G. Kreĭn's ideas in the theory of orthogonal polynomials, Ukrainian Math. J. 46 (1994), 75-86.

Otradnych, F. P., V Komissii po istorii fiziko-matematicheskikh nauk. Zasedanie pamiati Vladimira Andreyevicha Markova [In the Commission on the History of Physical and Mathematical Sciences. Meeting dedicated to the memory of Vladimir Andreyevich Markov], Uspekhi Acad. Nauk 9 4(62) (1954), 256-258.

Petersen, G. M., A tribute to G. G. Lorentz, J. Approx. Theory 13 (1975), 4-5. For those with access, this article may be viewed at Science Direct.

Pinkus, A., Weierstrass and Approximation Theory, J. Approx. Theory 107 (2000), 1-66. For those with access, this article may also be viewed at Science Direct. Some additions/corrections regarding this paper are in this file. This paper contains some biographical material, but is mainly concerned with the history of the Weierstrass Approximation Theorem. See also the interesting Veselý, J., Weierstrass' theorem before Weierstrass.

Reid, J., John Mason (1941-2016)

Révész, S., In Memoriam János Erőd

Schaback, R., Helmut Werner, a vita written specifically for this website.

Schaback, R., An annotated list of Publications of Helmut Werner written specifically for this website.

Schoenberg, I. J., List of Publications, essentially as it appears in I. J. Schoenberg, Selected Papers, ed. C. de Boor, Volume I, pp. xi-xviii, Birkhäuser, Boston, 1988.

Schoenberg, I. J., A brief account of my life and work, in I. J. Schoenberg, Selected Papers, ed. C. de Boor, Volume I, 1-10, Birkhäuser, Boston, 1988.

Sewell, W. E., Remarks on the mathematical researches of J. L. Walsh, SIAM J. Numer. Anal. 3 (1966), 344-348. For those with access, this article may be viewed at SIAM J. Numer. Anal. and at JSTOR.

Shevchuk, I. A., On V. K. Dzjadyk's Investigations in Approximation Theory

Shisha, O., Publications of Oved Shisha, J. Approx. Theory 86 (1996), 6-12. For those with access, this article may be viewed at Science Direct.

Siegmund-Schultze, R., Der Beweis des Weierstraßschen Approximationssatzes 1885 vor dem Hintergrund der Entwicklung der Fourieranalysis (German) [The proof of Weierstrass' approximation theorem of 1885 against the background of the development of Fourier analysis], Historia Math. 15 (1988), 299-310. For those with access, this article may be viewed at Science Direct.

Sommer, M., and H. Strauss, In Memoriam Günther Nürnberger January 13, 1948 - May 11, 2013, J. Approx. Theory 181 (2014), A1-A13. For those with access, this article may be viewed at Science Direct.

Stark, E. L., Bernstein-Polynome 1912-1955, Functional Analysis and Approximation (Oberwolfach 1980), Internat. Ser. Numer. Math. 60, Birkhäuser, Basel-Boston, 1981, pp.443-461. Discusses Bernstein's introduction of Bernstein polynomials in his 2-page paper on Weierstrass' Theorem and the resulting literature, including the problem of dating Bernstein's paper.

Steffens, K.-G., The History of Approximation Theory From Euler to Bernstein, Birkhäuser, Boston, 2006.

Stone, M., A reminiscence on the extension of the Weierstrass approximation theorem, Historia Math. 3 (1976), 328. For those with access, this article may be viewed at Science Direct.

Szabados, J., In Memoriam Arun Kumar Varma (1934-1994), J. Approx. Theory 84 (1996), 1-11. For those with access, this article may be viewed at Science Direct.

Szegö, G., Obituary: Otto Szász, Bull. Amer. Math. Soc. 60 (1954), 261-263.

Szegö, G., Leopold Fejér: In memoriam, 1880-1959, Bull. Amer. Math. Soc. 66, Number 5 (1960), 346-352.

Szegö, G., The contribution of L. Fejér to the constructive function theory, in Proceedings of the Conference on Constructive Theory of Functions, eds. G. Alexits and S. B. Stechkin, 19-26, Budapest, 1972.

Szüsz, P., P. Turán: Reminiscences of his student, J. Approx. Theory 29 (1980), 11-12. For those with access, this article may be viewed at Science Direct.

Talbot, A., Approximation theory or a miss is better than a mile, Inaugural Lecture at University of Lancaster, 1970, a 12Mb file! Here is a rougher copy in a 2Mb file.

Tikhomirov, V. M., A. N. Kolmogorov and approximation theory, (in Russian) Uspekhi Mat. Nauk 44 (1989), 83-122; translation in Russian Math. Surveys 44 (1989), 101-152.

Tikhomirov, V. M., The papers of P. L. Chebyshev on approximation theory, (Russian) Vestnik Moskov. Univ. Ser. I Mat. Mekh. 119 (1995), 86-90; translation in Moscow Univ. Math. Bull. 50 (1996), 39-42.

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