Higher Order Approximation of Functions by Modified Goodman-Sharma Operators
Classical Analysis and ODEs
2024-11-25 v2
Abstract
Here we study the approximation properties of a modified Goodman-Sharma operator recently considered by Acu and Agrawal in 2019. This operator is linear but not positive. It has the advantage of a higher order of approximation of functions compared with the Goodman-Sharma operator. We prove direct and strong converse theorems in terms of a related K-functional.
Keywords
Cite
@article{arxiv.2410.06908,
title = {Higher Order Approximation of Functions by Modified Goodman-Sharma Operators},
author = {Ivan Gadjev and Parvan Parvanov and Rumen Uluchev},
journal= {arXiv preprint arXiv:2410.06908},
year = {2024}
}