Work

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

Year: 2024

Type: article

Abstract: A new Goodman–Sharma-type modification of the Baskakov operator is presented for approximation of bounded and continuous functions on [0,∞). We study the approximation error of the proposed operator. Our main results are a direct theorem and strong converse theorem with respect to a related K-functional. Both theorems give complete characterization of the uniform approximation error in means of the K-functional. The new operator suggested by the authors is linear but non-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. The results of computational simulations are given.

Source: Mathematics

DOI: 10.3390/math13010064

Authors: Ivan Gadjev, Parvan Parvanov, Rumen Uluchev

Institution: Sofia University "St. Kliment Ohridski"

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: European Commission, NextGenerationEU