Remark on weighted approximation properties of generalized Picard operators
Loading...
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Miskolc Inst Math
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this article, we still hold the study of the generalized Picard operators P-lambda,P-beta (f; q) depending on nonisotropic beta-distance given in [3]. By continuing to deal with the nonisotropic weighted L-p,L-beta (R-n) space defined in [17], we introduce a new weighted L-p,L-beta modulus of continuity depending on the nonisotropic distance to obtain the weighted rate of convergence. We show that weighted convergence rate of P-lambda,P-beta (f; q) to f can be made better not only depending on the chosen q but also the choice of beta. We get that P-lambda,P-beta (f; q) satisfy the global smoothness preservation property via weighted L-p,L-beta modulus of continuity. Also we give direct approximation property of the generalized Picard operators P-lambda,P-beta (f; q) with respect to nonisotropic weighted norm.
Description
Bascanbaz-Tunca, Gulen/0000-0003-3216-1661
Keywords
generalized Picard singular integral nonisotropic distance, Lebesgue point
Journal or Series
Miskolc Mathematical Notes
WoS Q Value
Q4
Scopus Q Value
Q2
Volume
14
Issue
3
Citation
Yilmaz, B., Başcanbaz Tunca, G., & Aral, A., (2013). Remark On Weighted Approximation Properties Of Generalized Picard Operators. Miskolc Mathematical Notes , 14(3), 1091-1103.
