Approximation of Modified Baskakov Operators Based on Parameter s

Autor: T. A. Abdul-Qader, Ali J. Mohammad, S. A. Abdul-Hammed
Rok vydání: 2021
Předmět:
Zdroj: Iraqi Journal of Science. :588-593
ISSN: 2312-1637
0067-2904
DOI: 10.24996/ijs.2021.62.2.24
Popis: 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.
Databáze: OpenAIRE