Higher Order Approximation of Functions by Modified Goodman-Sharma Operators

2024/10/09 by Ivan Gadjev, Gadjev, Ivan, П. Парванов +3 · 1 citation
Mathematics · #41A10 #41A17 #41A25 #41A27 #41A35 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2410.06908

openalex publication_date 2024/10/09 · openalex created_date 2024/10/12 · openalex updated_date 2026/07/28

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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• Higher Order Approximation of Continuous Functions by a Modified Meyer-König and Zeller-Type Operator

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