A biparameterized analysis of integral inequalities for bounded and holderian mappings

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Djaber Chemseddine, Benchettah
Bouchareb Meriem
Lakhdari Abdelghani
Meftah Badreddine

Abstract

In this study, we introduce a new parameterized identity that generates a series of Newton-Cotes formulas for one, two, three, and four points. We then derive several novel Newton-Cotes-type inequalities for functions with bounded and rr-LL-H\"{o}lderian derivatives. The research is finalized with numerical examples and graphical illustrations that validate the precision of our findings.

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How to Cite
[1]
Benchettah, D.C., Meriem, B., Abdelghani, L. and Badreddine, M. 2024. A biparameterized analysis of integral inequalities for bounded and holderian mappings. Journal of Innovative Applied Mathematics and Computational Sciences. 4, 1 (Jun. 2024), 49–62. DOI:https://doi.org/10.58205/jiamcs.v4i1.134.
Section
Research Articles

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https://doi.org/10.1515/dema-2023-0155