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Approximation Properties by Szász–Mirakjan Operators to Bivariate Functions via Dunkl Analogue

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Abstract

In this paper, we propose an efficient method to approximate bivariate functions by Szász–Mirakjan operators via Dunkl generalization. More precisely, we generalize the Dunkl formation of Szász–Mirakjan operators by introducing the exponential functions and obtain the approximation by means of well-known Korovkin’s theorem, modulus of continuity, Lipschitz functions and Peetre’s K-functional. Next, we also discuss approaches of approximation by the operators in space of Bögel continuous functions.

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Nasiruzzaman, M. Approximation Properties by Szász–Mirakjan Operators to Bivariate Functions via Dunkl Analogue. Iran J Sci Technol Trans Sci 45, 259–269 (2021). https://doi.org/10.1007/s40995-020-01018-8

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  • DOI: https://doi.org/10.1007/s40995-020-01018-8

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