<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We consider the classical <italic>Szász-Mirakyan</italic> and <italic>Szász-Mirakyan-Durrmeyer</italic> operators, as well as a <italic>Kantorovich</italic> modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.</p></abstract>

We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.

Differences and quotients of positive linear operators

General Mathematics

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

{"article-title":"Differences and quotients of positive linear operators"}

We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images...

Differences and quotients of positive linear operators

Published Online: Dec 31, 2020

Page range: 81 - 85

Received: Jul 26, 2020

Accepted: Sep 20, 2020

DOI: https://doi.org/10.2478/gm-2020-0017

Keywords
differences of positive linear operators, quotients of positive linear operators, images of exponential functions

© 2020 Sever Hodiş, published by Sciendo

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

Differences and quotients of positive linear operators

Published Online: Dec 31, 2020

Page range: 81 - 85

Received: Jul 26, 2020

Accepted: Sep 20, 2020

DOI: https://doi.org/10.2478/gm-2020-0017

Keywordsdifferences of positive linear operators, quotients of positive linear operators, images of exponential functions

© 2020 Sever Hodiş, published by Sciendo

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

Keywords
differences of positive linear operators, quotients of positive linear operators, images of exponential functions