On a New Modification of Baskakov Operators with Higher Order of Approximation

2024/12/05 by Ivan Gadjev, Gadjev, Ivan, П. Парванов +3 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2412.04586

Abstract

A new Goodman-Sharma modification of the Baskakov operator is presented for approximation of bounded and continuous on [0, ∞) functions. In our study on the approximation error of the proposed operator we prove direct and strong converse theorems with respect to a related K-functional. This operator is linear but not positive. However it has the advantage of a higher order of approximation compared to the Goodman-Sharma variant of the Baskakov operator defined in 2005 by Finta.

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