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Applied Mathematics & Information Sciences

Article Title

Approximation of Functions by Lupas-Kantorovich- Stancu Type Operators based on Polya Distribution

Abstract

In this paper, we introduce a two parameter generalization of Lupas-Kantorovich operators based on Polya distribution. We obtain the moments of the operators by deriving a recurrence relation and then prove and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function.