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

Certain convergence estimates for the semi-exponential operators associated with 1 + <italic>x</italic>2 are established including weighted approximation, a direct result involving classical modulus of continuity and quantitative Voronovskaya-type theorem in weighted spaces. Initially, the moments are obtained following a recurrence relation for these operators and then some direct results are estimated.
</abstract>

Certain convergence estimates for the semi-exponential operators associated with 1 + x2 are established including weighted approximation, a direct result involving classical modulus of continuity and quantitative Voronovskaya-type theorem in weighted spaces. Initially, the moments are obtained following a recurrence relation for these operators and then some direct results are estimated.

Convergence estimates of semi-exponential operators associated with 1 + <italic>x</italic>2

General Mathematics

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

Convergence estimates of semi-exponential operators associated with 1 + 

Certain convergence estimates for the semi-exponential operators associated with 1 + x2 are established including weighted approximation, a direct result...

Convergence estimates of semi-exponential operators associated with 1 + x²

Published Online: Nov 24, 2023

Page range: 41 - 50

Received: Oct 31, 2022

Accepted: Nov 18, 2022

DOI: https://doi.org/10.2478/gm-2022-0014

Keywords
Semi-exponential operators, weighted approximation, Voronovskaya-type theorem

© 2022 Neha Malik, published by Sciendo

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

Convergence estimates of semi-exponential operators associated with 1 + x2

Published Online: Nov 24, 2023

Page range: 41 - 50

Received: Oct 31, 2022

Accepted: Nov 18, 2022

DOI: https://doi.org/10.2478/gm-2022-0014

KeywordsSemi-exponential operators, weighted approximation, Voronovskaya-type theorem

© 2022 Neha Malik, published by Sciendo

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

Convergence estimates of semi-exponential operators associated with 1 + x²

Keywords
Semi-exponential operators, weighted approximation, Voronovskaya-type theorem