Approximation for genuine summation-integral type link operators

Vijay Gupta and Neha Malik

Applied Mathematics and Computation, 2015, vol. 260, issue C, 321-330

Abstract: In the present article, we extend the studies on recently introduced sequence of the genuine summation-integral type operators [7]. Here, we establish a link between the genuine operators and the discrete operators. We also establish a quantitative asymptotic formula, a direct estimate in terms of Ditzian–Totik modulus of smoothness and finally, we present the rate of convergence for functions having derivatives of bounded variation.

Keywords: Quantitative asymptotic formula; Pochhammer symbol; Direct estimates; Ditzian–Totik modulus of smoothness; Rate of convergence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:260:y:2015:i:c:p:321-330

DOI: 10.1016/j.amc.2015.03.077

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