Positive linear operators and exponential functions

Ana-Maria Acu; Ioan Raşa; Andra Seserman

doi:10.3934/mfc.2022050

Article Contents

2023, Volume 6, Issue 3: 313-319. Doi: 10.3934/mfc.2022050

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Positive linear operators and exponential functions

1.
Lucian Blaga University of Sibiu, Department of Mathematics and Informatics, Romania
2.
Technical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Mathematics, Romania

^*Corresponding author: Ana-Maria Acu
^*Corresponding author: Ana-Maria Acu

Dedicated to Prof. Vijay Gupta on the occasion of his 60th birthday

Received: October 2022

Revised: October 2022

Early access: November 2022

Published: August 2023

Project financed by Lucian Blaga University of Sibiu through the research grant LBUS-IRG-2022-08

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Abstract

Using the family of generalized Baskakov operators we propose a general method to construct positive linear operators preserving exponential functions. A conjecture concerning Voronovskaja type formula and some applications are presented.

Keywords:

Positive linear operators,
exponential functions.

Mathematics Subject Classification: Primary: 41A36; Secondary: 41A25.

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References

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