Better Approximation Properties by New Modified Baskakov Operators

This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators. We apply the Maple software to...

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Main Authors: Ahmed F. Jabbar, Amal K. Hassan
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2024/8693699
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author Ahmed F. Jabbar
Amal K. Hassan
author_facet Ahmed F. Jabbar
Amal K. Hassan
author_sort Ahmed F. Jabbar
collection DOAJ
description This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators. We apply the Maple software to demonstrate how the operators converge to a specific function.
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institution Kabale University
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series Journal of Applied Mathematics
spelling doaj-art-0c255118579742fe8d131cc04b1ab3ab2025-02-03T05:32:36ZengWileyJournal of Applied Mathematics1687-00422024-01-01202410.1155/2024/8693699Better Approximation Properties by New Modified Baskakov OperatorsAhmed F. Jabbar0Amal K. Hassan1Department of MathematicsDepartment of MathematicsThis paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators. We apply the Maple software to demonstrate how the operators converge to a specific function.http://dx.doi.org/10.1155/2024/8693699
spellingShingle Ahmed F. Jabbar
Amal K. Hassan
Better Approximation Properties by New Modified Baskakov Operators
Journal of Applied Mathematics
title Better Approximation Properties by New Modified Baskakov Operators
title_full Better Approximation Properties by New Modified Baskakov Operators
title_fullStr Better Approximation Properties by New Modified Baskakov Operators
title_full_unstemmed Better Approximation Properties by New Modified Baskakov Operators
title_short Better Approximation Properties by New Modified Baskakov Operators
title_sort better approximation properties by new modified baskakov operators
url http://dx.doi.org/10.1155/2024/8693699
work_keys_str_mv AT ahmedfjabbar betterapproximationpropertiesbynewmodifiedbaskakovoperators
AT amalkhassan betterapproximationpropertiesbynewmodifiedbaskakovoperators