Approximation by Chlodowsky type Jakimovski-Leviatan operators

被引：27

作者：

Buyukyazici, Ibrahim ^{[1
]}

Tanberkan, Hande ^{[2
]}

Serenbay, Sevilay Kirci ^{[2
]}

Atakut, Cigdem ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Baskent Univ, Dept Math Educ, TR-06530 Ankara, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 259卷

关键词：

Jakimovski-Leviatan operators; Modulus of continuity; Weighted spaces; Rate of convergence; Divided differences;

D O I：

10.1016/j.cam.2013.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan (1969) in [1] and the theorems on convergence and the degree of convergence are established. We also give a Voronovskaya-type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity introduced by A.D. Gadjiev and A. Aral (2007) in [9]. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：153 / 163

页数：11

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[2]

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[3]

[Anonymous], 1974, Sov. Math. Dokl

[4]

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[5]

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Aral, A. .

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[8]

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[9]

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[10] GENERALIZED SZASZ OPERATORS FOR APPROXIMATION IN COMPLEX DOMAIN [J].

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