Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator

We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained. The...

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Main Authors:	Jianjun Wang, Haifeng Guo, Jia Jing
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Journal of Function Spaces and Applications
Online Access:	http://dx.doi.org/10.1155/2013/939565

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spelling	doaj-9b38af14468f4d04b4654b22114a699c2020-11-24T23:04:32ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/939565939565Estimation of Approximation with Jacobi Weights by Multivariate Baskakov OperatorJianjun Wang0Haifeng Guo1Jia Jing2School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaWe first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained. The obtained results not only generalize the corresponding ones for multivariate Baskakov operators without weights, but also give the approximation accuracy with the Jacobi weights approximation.http://dx.doi.org/10.1155/2013/939565
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jianjun Wang Haifeng Guo Jia Jing
spellingShingle	Jianjun Wang Haifeng Guo Jia Jing Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator Journal of Function Spaces and Applications
author_facet	Jianjun Wang Haifeng Guo Jia Jing
author_sort	Jianjun Wang
title	Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
title_short	Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
title_full	Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
title_fullStr	Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
title_full_unstemmed	Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
title_sort	estimation of approximation with jacobi weights by multivariate baskakov operator
publisher	Hindawi Limited
series	Journal of Function Spaces and Applications
issn	0972-6802 1758-4965
publishDate	2013-01-01
description	We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained. The obtained results not only generalize the corresponding ones for multivariate Baskakov operators without weights, but also give the approximation accuracy with the Jacobi weights approximation.
url	http://dx.doi.org/10.1155/2013/939565
work_keys_str_mv	AT jianjunwang estimationofapproximationwithjacobiweightsbymultivariatebaskakovoperator AT haifengguo estimationofapproximationwithjacobiweightsbymultivariatebaskakovoperator AT jiajing estimationofapproximationwithjacobiweightsbymultivariatebaskakovoperator
_version_	1725629787638071296

Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator

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