What question did this study set out to answer?

The aim is to develop new inequalities for differentiable $s$-convex functions using fractional calculus concepts.

February 25, 2026Open Access

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

Key Points

The aim is to develop new inequalities for differentiable $s$-convex functions using fractional calculus concepts.
Constructed a new identity involving four distinct points.
Derived Newton-Cotes type inequalities based on the new identity.
Utilized Riemann-Liouville fractional integrals for the derivations.
Provided examples and applications to illustrate the findings.
Established several new Newton-Cotes type inequalities for $s$-convex functions.
Showed the effectiveness of the inequalities through illustrative examples.

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.

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Cite This Study

Benssaad et al. (Wed,) studied this question.

synapsesocial.com/papers/699e91d7f5123be5ed04fa87 https://doi.org/https://doi.org/10.22130/scma.2025.2057059.2136

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