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Evaluation of the remainder term in approximation formulas by Benstein polynomials

Author: D. D. Stancu
Journal: Math. Comp. 17 (1963), 270-278
MSC: Primary 41.15
MathSciNet review: 0179524
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    O. Aramă, “On the properties on monotonicity of the sequence of interpolation polynomials of S. N. Bernstein and their application to the study of approximation of functions,” Mathematica (Cluj), v. 2 (25), 1960, p. 25-40 (Russian). M. Kac, “Une remarque sur les polynomes de M. S. Bernstein,” Studia Math., v. 7, 1938, p. 49-51.
  • G. G. Lorentz, Bernstein polynomials, Mathematical Expositions, no. 8, University of Toronto Press, Toronto, 1953. MR 0057370
  • I. P. Natanson, Konstruktivnaya teoriya funkciĭ, Gosudarstvennoe Izdatel′stvo Tehniko-Teoretičeskoĭ Literatury, Moscow-Leningrad,], 1949 (Russian). MR 0034464
  • D. D. Stancu, “Considerations on polynomial interpolation of functions of several variables,” Bull. Univ. Babes-Bolyai (Cluj), v. 1, 1957, p. 43-82 (Rumanian). E. Voronowskaja, “Détermination de la forme asymptotique d’approximation des functions par les polynomes de M. Bernstein,” C. R. Acad. Sci. URSS, A., 1932, p. 79-85. (Russian). Dimitrie Stancu, “On the remainder in the approximation formalae by Bernstein’s polynomials,” Abstract 588-2, Notices, American Mathematical Society, v. 9, n. 1, 1962, p. 26.

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Article copyright: © Copyright 1963 American Mathematical Society