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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Evaluation of the remainder term in approximation formulas by Benstein polynomials
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by D. D. Stancu PDF
Math. Comp. 17 (1963), 270-278 Request permission
References
    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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Additional Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Math. Comp. 17 (1963), 270-278
  • MSC: Primary 41.15
  • DOI: https://doi.org/10.1090/S0025-5718-1963-0179524-6
  • MathSciNet review: 0179524