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arXiv · 2410.06908

Higher Order Approximation of Functions by Modified Goodman-Sharma Operators

Ivan Gadjev·Parvan Parvanov·Rumen Uluchev
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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.

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Ivan Gadjev, Parvan Parvanov, Rumen Uluchev. 2024-10-09. Higher Order Approximation of Functions by Modified Goodman-Sharma Operators. https://arxiv.org/abs/2410.06908

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