Some Approximation Properties of Operators Including Degenerate Appell Polynomials

被引：3

作者：

Sergi, Bilge Zehra ^{[1
]}

Icoz, Gurhan ^{[2
]}

Cekim, Bayram ^{[2
]}

机构：

[1] Gazi Univ, Grad Sch Nat & Appl Sci, TR-06500 Ankara, Turkiye

[2] Gazi Univ, Dept Math, TR-06500 Ankara, Turkiye

来源：

MATHEMATICA SLOVACA | 2023年 / 73卷 / 06期

关键词：

Appell polynomials; Szasz operators; Lipschitz class; Voronovskaja-type theorem;

D O I：

10.1515/ms-2023-0111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre's K-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.

引用

页码：1545 / 1558

页数：14

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