Approximation for Generalization of Baskakov–Durrmeyer Operators

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

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 317-338 from Springer

Abstract: Abstract In the present article, we study certain approximation properties of the modified form of generalized Baskakov operators introduced by Erencin (Appl. Math. Comput. 218(3):4384–4390, 2011). We estimate a recurrence relation for the moments of their Durrmeyer type modification. First we estimate rate of convergence for functions having derivatives of bounded variation. Next, we discuss some direct results in simultaneous approximation by these operators, e.g. point-wise convergence theorem, Voronovskaja-type theorem and an estimate of error in terms of the modulus of continuity.

Keywords: Baskakov operators; Simultaneous approximation; Rate of convergence; Modulus of continuity; Bounded variation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_14

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DOI: 10.1007/978-3-319-31281-1_14

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