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Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators. We also compute local approximation and Voronovskaja type asymptotic formula. We illustrate the convergence of aforementioned operators by making use of the software MATLAB which we stated in the paper. [ABSTRACT FROM AUTHOR]

In the present paper, we consider ( p, q )-analogue of the Baskakov–Beta operators and using it, we estimate some direct results on approximation. Also, we represent the convergence of these operators graphically using MATLAB. [ABSTRACT FROM AUTHOR]

The present paper deals with a sequence of modified genuine summation-integral type operators, which is a generalization to the work done by Yadav (2014) [18]. In ordinary approximation, we estimate a global result, asymptotic formula of Voronovskaja kind, error estimation in terms of modulus of continuity and also study weighted approximation for the case c ∈ N ∪ { 0 } , which are compared graphically using MATLAB. Further, we discuss the rate of convergence for c = − 1 . [ABSTRACT FROM AUTHOR]