Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces
Year: 2024
Author: Lingxiong Han, Yumei Bai
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 3 : pp. 221–239
Abstract
In the paper, the authors introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for the linear combinations of Jacobi weighted Baskakov–Durrmeyer operators in the Orlicz spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2022-0013
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 3 : pp. 221–239
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Direct theorem inverse theorem equivalent theorem approximation K-functional Orlicz space Jacobi weight Baskakov–Durrmeyer operator.
Author Details
Lingxiong Han Email
Yumei Bai Email