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

Authors

  • Vijay Gupta Department of Mathematics, Netaji Subhas Institute of Technology, Sector 3, Dwarka, New Delhi 110078, India
  • Hari M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3314

Keywords:

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

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.

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Published

2018-07-31

Issue

Section

Complex Analysis

How to Cite

A General Family of the Srivastava-Gupta Operators Preserving Linear Functions. (2018). European Journal of Pure and Applied Mathematics, 11(3), 575-579. https://doi.org/10.29020/nybg.ejpam.v11i3.3314