A General Family of the Srivastava-Gupta Operators Preserving Linear Functions

Vijay Gupta, Hari M. Srivastava

Abstract

The general sequence of positive linear operators containing some well-known operators as special cases were introduced in the earlier work by Srivastava and Gupta [9], which reproduce only the constant functions. In the present sequel, we provide a general sequence of operators which preserve not only the constant functions, but also linear functions.

Keywords

Srivastava-Gupta operators; Phillips operators; Central moments; Generalized hypergeometric function; Kummer’s confluent hypergeometric function; Gauss hyper- geometric function.

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