<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We define Bézier variant of the <italic>κ</italic>- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.</p>
</abstract>

We define Bézier variant of the κ- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the Ditzian-Totik modulus of continuity. The rate of approximation for absolutely functions having a derivative equivalent to a bounded variation is also obtained.

Bézier-Bernstein-Schurer type operators

Department of Mathematics, School of Basic Sciences

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We define Bézier variant of the κ- Bernstein-Schurer operators and study its various approximation properties. We present a direct theorem with the help of the...

Bézier-Bernstein-Schurer type operators

Published Online: Nov 24, 2023

Page range: 51 - 61

Received: Oct 25, 2022

Accepted: Dec 05, 2022

DOI: https://doi.org/10.2478/gm-2022-0015

Keywords
Bernstein polynomials, rate of convergence, functions of bounded variation

© 2022 Arun Kajla et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Bézier-Bernstein-Schurer type operators

Published Online: Nov 24, 2023

Page range: 51 - 61

Received: Oct 25, 2022

Accepted: Dec 05, 2022

DOI: https://doi.org/10.2478/gm-2022-0015

KeywordsBernstein polynomials, rate of convergence, functions of bounded variation

© 2022 Arun Kajla et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Bernstein polynomials, rate of convergence, functions of bounded variation