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

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and <italic>e</italic>–<italic>x</italic> functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.
</abstract>

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence order of a quantitative estimate for the modified operators. We also give a quantitative Voronovskya type theorem.

Note On Jakimovski-Leviatan Operators Preserving <italic>e</italic>–<italic>x</italic>

Department of Mathematics, Faculty of Art and Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Note On Jakimovski-Leviatan Operators Preserving 

In the present article, a modification of Jakimovski-Leviatan operators is presented which reproduce constant and e–x functions. We prove uniform convergence...

Note On Jakimovski-Leviatan Operators Preserving e^–x

Published Online: Dec 26, 2019

Page range: 543 - 550

Received: Apr 26, 2019

Accepted: Jul 22, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00051

Keywords
Jakimovski-Leviatan operators, Exponential functions, Quantitative asymptotic formula, Uniform convergence, Voronovskya type theorem

© 2019 Ecem Acar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Note On Jakimovski-Leviatan Operators Preserving e–x

Published Online: Dec 26, 2019

Page range: 543 - 550

Received: Apr 26, 2019

Accepted: Jul 22, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00051

KeywordsJakimovski-Leviatan operators, Exponential functions, Quantitative asymptotic formula, Uniform convergence, Voronovskya type theorem

© 2019 Ecem Acar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Note On Jakimovski-Leviatan Operators Preserving e^–x

Keywords
Jakimovski-Leviatan operators, Exponential functions, Quantitative asymptotic formula, Uniform convergence, Voronovskya type theorem