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arXiv · 2006.11131

Generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials

Mahvish Ali·Richard B. Paris
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Abstract

The present work deals with the mathematical investigation of some generalizations of the Sz\'{a}sz operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials are considered. Convergence properties of these operators are verified with the help of the universal Korovkin-type property and the order of approximation is calculated by using classical modulus of continuity. The theoretical results are exemplified choosing the special cases of multiple Sheffer polynomials.

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Mahvish Ali, Richard B. Paris. 2020-06-19. Generalization of Sz\'{a}sz operators involving multiple Sheffer polynomials. https://arxiv.org/abs/2006.11131

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