Direct Estimates for Stancu Variant of Lupaş-Durrmeyer Operators Based On Polya Distribution

Document Type : Original Article


1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India.

2 Department of Computer Science, Dev Sanskriti Vishwavidyalaya, Haridwar- 249411, Uttarakhand, India.


In this paper, we study approximation properties of a family of linear positive operators and establish the Voronovskaja type asymptotic formula, local approximation and pointwise estimates using the Lipschitz type maximal function. In the last section, we consider the King type modification of these operators to obtain better estimates.


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