On some approximation theorems for the Poisson integral for Hermite expansionsТеоремы аппроксимации интегралов Пуассона для разложений Эрмита

被引:0
作者
Grażyna Krech
机构
[1] Pedagogical University,Institute of Mathematics
来源
Analysis Mathematica | 2014年 / 40卷
关键词
Orthogonal Polynomial; Approximation Theorem; Interpolation Space; Hermite Function; Norm Convergence;
D O I
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中图分类号
学科分类号
摘要
The aim of this paper is to study the Voronovskaya type theorem and the rate of convergence for the Poisson integral for Hermite expansions.
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页码:133 / 145
页数:12
相关论文
共 4 条
  • [1] Attalienti A(1999)Generalized Bernstein-Durrmeyer operators and the associated limit semigroup J. Approx. Theory 99 289-309
  • [2] Gosselin J(1994)Conjugate expansions for Hermite functions Illinois J. Math. 38 177-197
  • [3] Stempak K(2003)Direct results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces Demonstratio Math. 4 879-891
  • [4] Nowak G(undefined)undefined undefined undefined undefined-undefined