Approximation properties of modified Srivastava-Gupta operators based on certain parameter

Approximation properties of modified Srivastava-Gupta operators based on certain parameter

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In the present article, we give a modified form of generalized Srivastava-Gupta operators based on certain parameter which preserve the Merchandise constant as well as linear functions.First, we estimate moments of the operators and then prove Voronovskaja type theorem.Next, direct approximation theorem, rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied.Then, we obtain Puzzle point-wise estimate using the Lipschitz type maximal function.

Finaly, we study the $A$-statistical convergence of these operators.