Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces
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@Article{ATA-40-221,
author = {Han , Lingxiong and Bai , Yumei},
title = {Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces},
journal = {Analysis in Theory and Applications},
year = {2024},
volume = {40},
number = {3},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2022-0013}, url = {http://global-sci.org/intro/article_detail/ata/23466.html} }
TY - JOUR
T1 - Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces
AU - Han , Lingxiong
AU - Bai , Yumei
JO - Analysis in Theory and Applications
VL - 3
SP - 221
EP - 239
PY - 2024
DA - 2024/10
SN - 40
DO - http://doi.org/10.4208/ata.OA-2022-0013
UR - https://global-sci.org/intro/article_detail/ata/23466.html
KW - Direct theorem, inverse theorem, equivalent theorem, approximation, $K$-functional, Orlicz space, Jacobi weight, Baskakov–Durrmeyer operator.
AB -
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.
Han , Lingxiong and Bai , Yumei. (2024). Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces.
Analysis in Theory and Applications. 40 (3).
221-239.
doi:10.4208/ata.OA-2022-0013
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