Szász–Durrmeyer Operators and Approximation

Vijay Gupta ()
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Vijay Gupta: Netaji Subhas University of Technology

A chapter in Computational Mathematics and Variational Analysis, 2020, pp 107-120 from Springer

Abstract: 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.

Keywords: Szász–Durrmeyer operators; Weighted modulus of continuity; Quantitative asymptotic formula; Difference estimate (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-44625-3_6

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DOI: 10.1007/978-3-030-44625-3_6

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