Further Results for kth order Kantorovich Modification of Linking Baskakov Type Operators

被引：10

作者：

Baumann, Katharina ^{[1
]}

Heilmann, Margareta ^{[1
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Berg Univ Wuppertal, Fac Math & Nat Sci, Gaussstr 20, D-42119 Wuppertal, Germany

[2] Tech Univ, Dept Math, Str Memorandumului 28, Cluj Napoca 400114, Romania

来源：

RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期

关键词：

Linking Baskakov type operators; Kantorovich type modifications; moments; images of monomials; asymptotic results; convexity properties; limiting behavior; SIMULTANEOUS APPROXIMATION;

D O I：

10.1007/s00025-015-0511-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a non-trivial link between Baskakov type operators and their genuine Durrmeyer type modification as well as the kth order Kantorovich variant. Recursion formulas for the moments and the images of monomials are proved in order to derive asymptotic expansions. Furthermore we investigate convexity properties of the linking operators and the limiting behavior for certain function spaces.

引用

页码：297 / 315

页数：19

共 19 条

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[4]

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[9]

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[10]

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