@Article{ATA-40-3, author = {Lingxiong, Han and Yumei, Bai}, 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 = {https://global-sci.com/article/91310/direct-inverse-theorems-of-approximation-by-linear-combinations-of-weighted-baskakovndashdurrmeyer-operators-in-orlicz-spaces} }