Approximation of Modified Baskakov Operators Based on Parameter s

Ali J.  Mohammad; S. A. Abdul-Hammed; T. A. Abdul-Qader

doi:10.24996/ijs.2021.62.2.24

Authors

Ali J. Mohammad Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq
S. A. Abdul-Hammed Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq
T. A. Abdul-Qader Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.2.24

Keywords:

Baskakov operators, Voronovsky-type asymptotic formula, Order of approximation

Abstract

In this article, we define and study a family of modified Baskakov type operators based on a parameter . This family is a generalization of the classical Baskakov sequence. First, we prove that it converges to the function being approximated. Then, we find a Voronovsky-type formula and obtain that the order of approximation of this family is . This order is better than the order of the classical Baskakov sequence whenever . Finally, we apply our sequence to approximate two test functions and analyze the numerical results obtained.