A new generalization of Szasz-Kantorovich operators on weighted space

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Turkish Journal of Science
Volume:7 Issue:2
A new generalization of Szasz-Kantorovich operators on weighted space

A new generalization of Szasz-Kantorovich operators on weighted space

Authors : Harun ÇİÇEK, Shaymaa JAMEEL ZAİNALABDİN, Aydın İZGİ

Pages : 85-106

View : 23 | Download : 14

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :The purpose of this article is to define a new generalization of Szász-Kantorovich operators. First, by using the Korovkin theorem on the new operator we define, its convergence properties and rates are examined. Then, the Voronovskaja-type theorem for the new operator is proven. Additionally, with the help of the modulus of continuity in the weighted space, rate of convergence the new operator is examined, and a theorem is proven for the operator we define by using functions that satisfy the Lipschitz condition. Finally, the convergence is demonstrated more clearly by numerical examples and plots.
Keywords : Linear positive operators, Szasz Kantorovich operators, Weighted space, Module of Continuity, Lipschitz class

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