Dunkl analogue of Szasz operators

摘要

The main purpose of this paper is to construct linear positive operators generated by Dunkl generalization of exponential function. We present qualitative result with the help of universal Korovkin-type theorem and weighted Korovkin-type theorem and also get quantitative estimates in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre’s K-functional, second order modulus of continuity and weighted modulus of continuity by Dunkl analogue of Szasz operators.