Journal of innovative applied mathematics and computational sciences
Volume 4, Numéro 1, Pages 49-62
2024-09-25

Biparametrized Analysis Of Integral Inequalities For Bounded And Holderian Mappings



Authors : Benchettah Djaber Chemseddine . Bouchareb Meriem . Lakhdari Abdelghani . Meftah Badreddine .

Abstract

In this work, we present a novel parametrized identity that yields a family of one, two, three, and four-point Newton-Cotes formulas. Subsequently, we establish some new Newton-cotes type inequalities for functions possessing bounded and r-L-Hölderian derivatives. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.

Keywords

Newton-Cotes inequalities ; Lipschitzian functions, ; Hölderian functions ; bounded functions

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