On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces

被引：4

作者：

Nowak, Grzegorz ^{[1
]}

Sikorska-Nowak, Aneta ^{[2
]}

机构：

[1] Higher Sch Mkt & Management, PL-64100 Leszno, Poland

[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2007年 / 2007卷 / 1期

关键词：

D O I：

10.1155/2007/75142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Kantorovich- and the Durrmeyer-type modifications of the generalized Favard operators and we prove an inverse approximation theorem for functions f such that w(sigma) f epsilon L-p(R), where 1 <= p <= infinity and w(sigma) (x) = exp(-sigma x(2)), sigma > 0. Copyright (c) 2007.

引用

页数：12

共 49 条

[1] On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
Grzegorz Nowak
Aneta Sikorska-Nowak
[J]. Journal of Inequalities and Applications, 2007
[2] Theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces
Nowak, Grzegorz
Sikorska-Nowak, Aneta
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[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2022, 28 (03)
[8] On the Admissible Control operators for Linear and Bilinear Systems and the Favard Spaces
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[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (04) : 711 - 732
[9] On the Admissible Control operators for Linear Volterra Systems and the Favard spaces
Fadili, Ahmed
[J]. 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM'2018, 2019, 2074
[10] Approximation by Generalized Integral Favard-Szasz Type Operators Involving Sheffer Polynomials
Karateke, Seda
Atakut, Cigdem
Buyukyazici, Ibrahim
[J]. FILOMAT, 2019, 33 (07) : 1921 - 1935

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