Work

Shape preserving approximation properties to family of α-Bernstein shifted knot operators

Year: 2025

Type: article

Abstract: The main idea of this paper is to obtain approximation results by utilizing the shifted knots properties of the family of α -Bernstein operators. We examine some basic results and estimate the moments of this new family of α -Bernstein operators. We derive an upper bound on the error estimation using the usual modulus of continuity in continuous function spaces. Furthermore, we have also obtained the shape-preserving properties and discussed some direct theorems.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03360-0

Authors: Mohammad Ayman-Mursaleen, Esmail Alshaban, Md. Nasiruzzaman

Institutions: University of Ostrava, University of Tabuk

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4414530928

FWCI: 20.91

Cites: 26

Cited by: 24

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