Approximation for genuine summation-integral type link operators

doi:10.1016/j.amc.2015.03.077

2015-06-01

PRE

Vijay Gupta *

Neha Malik

DOI：10.1016/j.amc.2015.03.077

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摘要

En 中文

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. (C) 2015 Elsevier Inc. All rights reserved.

Keyword:

Quantitative asymptotic formula

Pochhammer symbol

Direct estimates

Ditzian-Totik modulus of smoothness

Rate of convergence