On Is/I-Convexity of Dual Simpson Type Integral Inequalities

On Is/I-Convexity of Dual Simpson Type Integral Inequalities

Integral inequalities are a powerful tool for estimating errors of quadrature formulas. In this study, some symmetric dual Simpson type integral inequalities for the classes of s-convex, bounded and Lipschitzian functions are proposed. The obtained results are based on a new identity and the use of...

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Veröffentlicht in:Symmetry (Basel) 2023-03, Vol.15 (3)
Hauptverfasser: Chiheb, Tarek, Boulares, Hamid, Imsatfia, Moheddine, Meftah, Badreddine, Moumen, Abdelkader
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container_issue 3
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container_title Symmetry (Basel)
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creator Chiheb, Tarek
Boulares, Hamid
Imsatfia, Moheddine
Meftah, Badreddine
Moumen, Abdelkader
description Integral inequalities are a powerful tool for estimating errors of quadrature formulas. In this study, some symmetric dual Simpson type integral inequalities for the classes of s-convex, bounded and Lipschitzian functions are proposed. The obtained results are based on a new identity and the use of some standard techniques such as Hölder as well as power mean inequalities. We give at the end some applications to the estimation of quadrature rules and to particular means.
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title On Is/I-Convexity of Dual Simpson Type Integral Inequalities
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