On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces

On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces

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 wÃf∈Lp(R), where 1≤p≤∞ and wÃ(x)=exp(−Ãx2), Ã>0....

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Main Authors: Aneta Sikorska-Nowak, Grzegorz Nowak
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/75142
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spelling doaj-ee831af79e6f48b899fb43c52192bbe02020-11-24T23:56:31ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-01200710.1155/2007/75142On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function SpacesAneta Sikorska-NowakGrzegorz NowakWe 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 wÃf∈Lp(R), where 1≤p≤∞ and wÃ(x)=exp(−Ãx2), Ã>0.http://dx.doi.org/10.1155/2007/75142
collection DOAJ
language English
format Article
sources DOAJ
author Aneta Sikorska-Nowak
Grzegorz Nowak
spellingShingle Aneta Sikorska-Nowak
Grzegorz Nowak
On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
Journal of Inequalities and Applications
author_facet Aneta Sikorska-Nowak
Grzegorz Nowak
author_sort Aneta Sikorska-Nowak
title On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
title_short On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
title_full On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
title_fullStr On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
title_full_unstemmed On the Generalized Favard-Kantorovich and Favard-Durrmeyer Operators in Exponential Function Spaces
title_sort on the generalized favard-kantorovich and favard-durrmeyer operators in exponential function spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-01-01
description 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 wÃf∈Lp(R), where 1≤p≤∞ and wÃ(x)=exp(−Ãx2), Ã>0.
url http://dx.doi.org/10.1155/2007/75142
work_keys_str_mv AT anetasikorskanowak onthegeneralizedfavardkantorovichandfavarddurrmeyeroperatorsinexponentialfunctionspaces
AT grzegorznowak onthegeneralizedfavardkantorovichandfavarddurrmeyeroperatorsinexponentialfunctionspaces
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