Work

τ‐Bézier–Bernstein‐Integral Type Operators

Year: 2025

Type: article

Abstract: ABSTRACT This work introduces ‐Bézier–Bernstein‐integral type operators, along with local approximation results, a direct approximation theorem that leverages the Ditzian–Totik modulus of smoothness, and a quantitative Voronovskaja‐type theorem using the Ditzian–Totik modulus of continuity. Additionally, we derive the convergence rate for differential functions with bounded variation in their derivatives. Ultimately, we demonstrate numerical examples that validate the theoretical results and showcase the effectiveness of the defined operators.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10931

Authors: Arun Kajla, S. A. Mohiuddine, Sahil Berwal, Abdullah Alotaibi

Institutions: Central University of Haryana, King Abdulaziz University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: King Abdulaziz University

OpenAlex ID: W4409190262

FWCI: 4.178

Cites: 40

Cited by: 5

Related to: 10