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Stancu-variant of generalized Baskakov operators

Rao Nadeem (Jamia Millia Islamia, Department of Mathematics, New Delhi, India)
Wafi Abdul (Jamia Millia Islamia, Department of Mathematics, New Delhi, India)

In the present paper, we introduce Stancu-variant of generalized Baskakov operators and study the rate of convergence using modulus of continuity, order of approximation for the derivative of function f . Direct estimate is proved using K-functional and Ditzian-Totik modulus of smoothness. In the last, we have proved Voronovskaya type theorem.

Keywords: Generalized Baskakov operators, Modulus of continuity, Ditzian-Totik modulus of smoothness, Voronovskaya