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Szász–Durrmeyer Operators and Approximation

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Computational Mathematics and Variational Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 159))

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Abstract

The Szász–Durrmeyer operators were introduced three and half decades ago in order to approximate integrable functions on the positive real axis. Several approximation properties of these operators have been discussed by researchers. In the present paper, we discuss some of the approximation properties of these operators in terms of weighted modulus of continuity and also in terms of first-order modulus of continuity having exponential growth. In the end, we find the difference estimate of Szász–Durrmeyer operators from the Baskakov–Szász–Mirakyan operators in weighted approximation.

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Gupta, V. (2020). Szász–Durrmeyer Operators and Approximation. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_6

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