Addition to the Popoviciu theorem

被引：0
作者：
V. O. Tonkov
机构：
[1] Moscow State University,
来源：
Mathematical Notes | 2013年 / 94卷
关键词：
bounded function; Popoviciu theorem; Bernstein polynomial; continuous function; modulus of continuity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An asymptotic estimate of approximations of a function by Bernstein polynomials taking into account the position of the point on the closed interval is obtained.
引用
收藏
页码：392 / 399
页数：7
相关论文
共 6 条
  • [1] Popoviciu T(1935)Sur l’approximation des fonctions convexes d’ordre supérieur Mathematica Cluj 10 49-54
  • [2] Sikkema P C(1961)Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen Numer. Math. 3 107-116
  • [3] Sikkema P C(1959)Über den Grad der Approximation mit Bernstein-Polynomen Numer. Math. 1 221-239
  • [4] Esseen C G(1960)Über die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen Numer. Math. 2 206-213
  • [5] Weba M(2006)An optimal bound for the Bernstein approximation multivariate Lipschitz-continuous functions East J. Approx. 12 397-405
  • [6] Telyakovskii S A(2008)On the rate of approximation of functions by Bernstein polynomials Trudy IMM UrO RAN 14 162-169
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