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Dunkl analogue of Szasz operators

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
244
Identifiers
DOI: 10.1016/j.amc.2014.06.088
Keywords
  • Szasz Operator
  • Generalization Of Exponential Function
  • Dunkl Operator
  • Modulus Of Smoothness
Disciplines
  • Mathematics

Abstract

Abstract 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.

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