Modified Stancu operators based on inverse Polya Eggenberger distribution.
In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [Formula: see text], based on a function [Formula: see text]. This function [Formula: see text] is infinite times continuously differentiable on [Formula: see text] and satisfy the conditions [Formula: see text] and [Formula: see text] is bounded for all [Formula: see text]. We study the degree of approximation of these operators by means of the Peetre K-functional and the Ditzian-Totik modulus of smoothness. The quantitative Voronovskaja-type theorems are also established in terms of the first order Ditzian-Totik modulus of smoothness.
Indian Institute of Techology Roorkee, Roorkee, 247667 India.
Sheetal
S
Deshwal
Indian Institute of Techology Roorkee, Roorkee, 247667 India.
P N
PN
Agrawal
Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep, 27410 Turkey.
Serkan
0000-0002-3950-6864
S
Araci
Baskakov operator; Ditzian-Totik modulus of smoothness; Voronovskaja-type theorem; rate of convergence