<abstract xmlns="http://www.w3.org/1999/xhtml"><p>For the sequence of King operators, we establish a direct approximation theorem via the first order Ditzian-Totik modulus of smoothness, and a converse approximation theorem of Berens-Lorentz-type.</p></abstract>

For the sequence of King operators, we establish a direct approximation theorem via the first order Ditzian-Totik modulus of smoothness, and a converse approximation theorem of Berens-Lorentz-type.

Direct and converse theorems for King operators

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"Direct and converse theorems for King operators"}

For the sequence of King operators, we establish a direct approximation theorem via the first order Ditzian-Totik modulus of smoothness, and a converse...

Direct and converse theorems for King operators

Published Online: Jul 16, 2020

Page range: 85 - 96

Received: Jun 03, 2019

DOI: https://doi.org/10.2478/ausm-2020-0005

Keywords
Bernstein operators, King operators, first order Ditzian-Totik modulus of smoothness, Berens-Lorentz lemma

© 2020 Zoltán Finta, published by Sciendo

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

Direct and converse theorems for King operators

Published Online: Jul 16, 2020

Page range: 85 - 96

Received: Jun 03, 2019

DOI: https://doi.org/10.2478/ausm-2020-0005

KeywordsBernstein operators, King operators, first order Ditzian-Totik modulus of smoothness, Berens-Lorentz lemma

© 2020 Zoltán Finta, published by Sciendo

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

Keywords
Bernstein operators, King operators, first order Ditzian-Totik modulus of smoothness, Berens-Lorentz lemma