Simultaneous Approximation by a New Sequence of Integral Type Based on Two Parameters

Ali J.  Mohammad; Amal K. Hassan

doi:10.24996/ijs.2021.62.5.29

Authors

Ali J. Mohammad Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, IRAQ
Amal K. Hassan Department of Mathematics, College of Since, University of Basrah, Basrah, IRAQ

DOI:

https://doi.org/10.24996/ijs.2021.62.5.29

Keywords:

Positive and linear operators, Simultaneous approximation, Voronovskaja-type asymptotic formula, order of approximation and Korovkin’s theorem

Abstract

This paper introduces a generalization sequence of positive and linear operators of integral type based on two parameters to improve the order of approximation. First, the simultaneous approximation is studied and a Voronovskaja-type asymptotic formula is introduced. Next, an error of the estimation in the simultaneous approximation is found. Finally, a numerical example to approximate a test function and its first derivative of this function is given for some values of the parameters.