Approximation by Durrmeyer Type Operators Preserving Linear Functions

Vijay Gupta ()
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Vijay Gupta: Netaji Subhas Institute of Technology, Department of Mathematics

A chapter in Computation, Cryptography, and Network Security, 2015, pp 289-298 from Springer

Abstract: Abstract In the present article, we propose a new sequence of linear positive operators having different basis, which are generalizations of Bernstein basis functions. We establish some convergence estimates which include link convergence, asymptotic formula, and direct estimates in terms of usual and Ditzian–Totik modulus of continuity.

Keywords: Bernstein polynomials; Modulus of continuity; Rising factorial; Direct results (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-18275-9_11

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DOI: 10.1007/978-3-319-18275-9_11

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