Dunkl-type generalization of the second kind beta operators via $(p,q)$-calculus
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AbstractThe main purpose of this research article is to construct a Dunkl extension of $(p,q)$ ( p , q ) -variant of Szász–Beta operators of the second kind by applying a new parameter. We obtain Korovkin-type approximation theorems, local approximations, and weighted approximations. Further, we study the rate of convergence by using the modulus of continuity, Lipschitz class and Peetre’s K-functionals.
2009 ◽
Vol 49
(9-10)
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pp. 2037-2044
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