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September 10, 2025Open Access

Fractional integral inequalities for m-polynomial exponential type s-convex functions

Key Points

The derived inequalities include Hermite-Hadamard and Hermite-Hadamard-Fejér inequalities, showcasing novel applications.
Riemann-Liouville fractional integrals are employed to integrate s-convex functions with significant implications in various fields.
Hölder and power mean inequalities serve as foundational tools in deriving and establishing the results presented.
Graphical representations complement the findings, showcasing 2D and 3D visualizations that validate the inequalities.

Abstract

In this article, we derive Hermite-Hadamard and Hermite-Hadamard-Fej?r inequalities by utilizing Riemann-Liouville fractional integrals with inclusion of m-polynomial exponential type s-convex functions. The H?lders and power mean inequalities are used to establish the results that have strong applicability across a wide range of disciplines, including stochastic processes, computer science and engineering. We employ particular functions to investigate these inequalities and displaying their 2D and 3D graphs along with relevant table values. This presentation serves as evidence supporting the validity of the results obtained. We introduce trapezoid bounds as applications serving as error estimates for the developed result.

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

synapsesocial.com/papers/68c1a11f54b1d3bfb60dbb47 https://doi.org/https://doi.org/10.2298/fil2504373s

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