Karslı, HarunAgrawal, Purshottam Narain2024-02-162024-02-162023Karsli, H., & Agrawal, P. N. (2023). Rate of convergence of Stancu type modified $ q $-Gamma operators for functions with derivatives of bounded variation. Mathematical Foundations of Computing, 6(4), 601-615.2577-8838http://dx.doi.org/10.3934/mfc.2022002https://hdl.handle.net/20.500.12491/12029Recently, 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.eninfo:eu-repo/semantics/openAccessQ-Gamma OperatorsRight and Left Q-DerivativesConvergence RateBounded VariationDiscrete Q-DerivativesApproximation PropertiesArticle10.3934/mfc.2022002641152-s2.0-85151130448Q3WOS:000755172100001N/A