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Rate of convergence of stancu type modified q-gamma operators for functions with derivatives of bounded variation
(Amer Inst Mathematical Sciences-Aims, 2023) Karslı, Harun; Agrawal, Purshottam Narain
Recently, Karsli [15] estimated the convergence rate of the q-Bernstein-Durrmeyer operators for functions whose q-derivatives are of bounded variation on the interval [0, 1]. Inspired by this study, in the present paper we deal with the convergence rate of a q- analogue of the Stancu type modified Gamma operators, defined by Karsli et al. [17], for the functions phi whose q-derivatives are of bounded variation on the interval [0, infinity). We present the approximation degree for the operator (S-n,l,q((alpha,beta)) phi) (3) at those points 3 at which the one sided q-derivatives D-q(+) phi(3) and D-q(-) phi(3) exist.