Approximation of sequences of Phillips operators generated by Dunkl exponential function

In this study, we use the Dunkl analogue properties to study the convergence properties of Phillips operators. By initiating the sequences of the new continuous function $ r_n(x) $ on $ [0, \infty) $, we construct the Phillips operators. We calculate the qualitative outcomes in weighted Korovkin and Korovkin spaces to gain a deeper comprehension of the uniform convergence results of Phillips operators.

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Publication Details

Journal
Mathematical Foundations of Computing
Published
2025-04-21
DOI
https://doi.org/10.3934/mfc.2025019
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Approximation of sequences of Phillips operators generated by Dunkl exponential function

Md. Nasiruzzaman
Mathematical Foundations of Computing
Approximation Theory and Sequence Spaces
article

Approximation of sequences of Phillips operators generated by Dunkl exponential function

Md. Nasiruzzaman
article en

Abstract

In this study, we use the Dunkl analogue properties to study the convergence properties of Phillips operators. By initiating the sequences of the new continuous function $ r_n(x) $ on $ [0, \infty) $, we construct the Phillips operators. We calculate the qualitative outcomes in weighted Korovkin and Korovkin spaces to gain a deeper comprehension of the uniform convergence results of Phillips operators.

Mathematical Foundations of ComputingVol. 10(0)
University of Tabuk (SA)
Openalex Percentile: Top 92%
Approximation Theory and Sequence Spaces
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Approximation of sequences of Phillips operators generated by Dunkl exponential function — Md. Nasiruzzaman · Mathematical Foundations of Computing (2025) | TGRS Research Map | TGRS