Ideal Convergence of k-Positive Linear Operators

We study some ideal convergence results of k-positive linear operators defined on an appropriate subspace of the space of all analytic functions on a bounded simply connected domain in the complex plane. We also show that our approximation results with respect to ideal convergence are more general t...

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Main Authors: Akif Gadjiev, Oktay Duman, A. M. Ghorbanalizadeh
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/178316
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author Akif Gadjiev
Oktay Duman
A. M. Ghorbanalizadeh
author_facet Akif Gadjiev
Oktay Duman
A. M. Ghorbanalizadeh
author_sort Akif Gadjiev
collection DOAJ
description We study some ideal convergence results of k-positive linear operators defined on an appropriate subspace of the space of all analytic functions on a bounded simply connected domain in the complex plane. We also show that our approximation results with respect to ideal convergence are more general than the classical ones.
format Article
id doaj-art-11742a7729eb47f497f56226d5944ddb
institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-11742a7729eb47f497f56226d5944ddb2025-02-03T05:57:36ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/178316178316Ideal Convergence of k-Positive Linear OperatorsAkif Gadjiev0Oktay Duman1A. M. Ghorbanalizadeh2Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 F. Agaev Street, 1141 Baku, AzerbaijanDepartment of Mathematics, Faculty of Arts and Sciences, TOBB University of Economics and Technology, Söğütözü, 06530 Ankara, TurkeyInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9 F. Agaev Street, 1141 Baku, AzerbaijanWe study some ideal convergence results of k-positive linear operators defined on an appropriate subspace of the space of all analytic functions on a bounded simply connected domain in the complex plane. We also show that our approximation results with respect to ideal convergence are more general than the classical ones.http://dx.doi.org/10.1155/2012/178316
spellingShingle Akif Gadjiev
Oktay Duman
A. M. Ghorbanalizadeh
Ideal Convergence of k-Positive Linear Operators
Journal of Function Spaces and Applications
title Ideal Convergence of k-Positive Linear Operators
title_full Ideal Convergence of k-Positive Linear Operators
title_fullStr Ideal Convergence of k-Positive Linear Operators
title_full_unstemmed Ideal Convergence of k-Positive Linear Operators
title_short Ideal Convergence of k-Positive Linear Operators
title_sort ideal convergence of k positive linear operators
url http://dx.doi.org/10.1155/2012/178316
work_keys_str_mv AT akifgadjiev idealconvergenceofkpositivelinearoperators
AT oktayduman idealconvergenceofkpositivelinearoperators
AT amghorbanalizadeh idealconvergenceofkpositivelinearoperators