title: On modified Dunkl generalization of Szász operators viaq-calculus.
abstract: The purpose of this paper is to introduce a modification ofq-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [Formula: see text] than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class.
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.|Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589 Saudi Arabia.
authors.forename: M
authors.initials: M
authors.lastname: Mursaleen
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
authors.forename: Md
authors.initials: M
authors.lastname: Nasiruzzaman
authors.affiliation: Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589 Saudi Arabia.
authors.forename: Abdullah
authors.initials: A
authors.lastname: Alotaibi
keywords: Dunkl analogue; Peetre’s K-functional; Szász operator; modulus of continuity; q-Szász-Mirakjan-Kantorovich; q-integers