EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 247–259 (2017)

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APPROXIMATION BY GENERALIZED SRIVASTAVA–GUPTA OPERATORS BASED ON CERTAIN PARAMETER

D. K. Verma

Department of Mathematics, Miranda House, University of Delhi, New Delhi, India

Abstract: We establish some direct results in simultaneous approximation for a generalization of the Srivastava–Gupta operators. We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of modulus of continuity of the function.

Keywords: Phillips operators; modulus of continuity; pointwise convergence; Voronovskaja type asymptotic formula

Classification (MSC2000): 41A30; 41A35

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