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Korovkin type approximation via statistical e-convergence on two dimensional weighted spaces

  • Sevda Yildiz
Published/Copyright: October 4, 2021
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Abstract

In the present work, we prove a Korovkin theorem for statistical e-convergence on two dimensional weighted spaces. We show that our theorem is a non-trivial extension of some well-known Korovkin type approximation theorems. We also study the rate of statistical e-convergence by using the weighted modulus of continuity and afterwards we present an application in support of our result.

  1. (Communicated by Gregor Dolinar)

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Received: 2019-11-25
Accepted: 2021-03-24
Published Online: 2021-10-04
Published in Print: 2021-10-26

© 2021 Mathematical Institute Slovak Academy of Sciences

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