Startseite Approximation theorems via Pp-statistical convergence on weighted spaces
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Approximation theorems via Pp-statistical convergence on weighted spaces

  • Sevda Yıldız EMAIL logo und Nilay Şahin Bayram
Veröffentlicht/Copyright: 24. Juni 2024
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Abstract

In this paper, we obtain some Korovkin type approximation theorems for double sequences of positive linear operators on two-dimensional weighted spaces via statistical type convergence method with respect to power series method. Additionally, we calculate the rate of convergence. As an application, we provide an approximation using the generalization of Gadjiev-Ibragimov operators for Pp-statistical convergence. Our results are meaningful and stronger than those previously given for two-dimensional weighted spaces.

  1. Communicated by Gregor Dolinar

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Received: 2022-10-20
Accepted: 2023-11-10
Published Online: 2024-06-24
Published in Print: 2024-06-25

© 2024 Mathematical Institute Slovak Academy of Sciences

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