Fractional four Point Newton-Cotes Type Inequalities for Differentiable $s$-Convex Functions

In this paper, we construct a novel identity involving four distinct points. Based on this identity, we derive several Newton-Cotes type inequalities for functions whose first derivatives are $s$-convex in the second sense, utilizing Riemann-Liouville fractional integrals. Furthermore, we provide illustrative applications and examples to demonstrate the effectiveness and relevance of the obtained results.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-10-01
DOI
https://doi.org/10.22130/scma.2025.2057059.2136
Primary Topic
Mathematical Inequalities and Applications
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article
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article

Fractional four Point Newton-Cotes Type Inequalities for Differentiable $s$-Convex Functions

Meryem Benssaad, Badreddine Meftah, Wahida Kaidouchi
SHILAP Revista de lepidopterología
Mathematical Inequalities and Applications
article

Fractional four Point Newton-Cotes Type Inequalities for Differentiable $s$-Convex Functions

Meryem Benssaad, Badreddine Meftah, Wahida Kaidouchi
article en

Abstract

In this paper, we construct a novel identity involving four distinct points. Based on this identity, we derive several Newton-Cotes type inequalities for functions whose first derivatives are $s$-convex in the second sense, utilizing Riemann-Liouville fractional integrals. Furthermore, we provide illustrative applications and examples to demonstrate the effectiveness and relevance of the obtained results.

SHILAP Revista de lepidopterología
University of Guelma (DZ), University of Skikda (DZ)
Reduced inequalities
Openalex Percentile: Top 16%
Mathematical Inequalities and Applications
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