Open AccessSimultaneous Approximation by a New Sequence of Integral Type Based on Two Parameters
Author(s) -
Ali J. Mohammad,
Amal K. Hassan
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.5.29
Subject(s) - mathematics , sequence (biology) , type (biology) , approximation error , generalization , function (biology) , order (exchange) , spouge's approximation , mathematical analysis , chemistry , ecology , finance , evolutionary biology , economics , biology , biochemistry
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.