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

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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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2504373s
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Muhammad Samraiz, Saima Naheed, Abdalstar A. Saleem
Filomat
Mathematical Inequalities and Applications
article

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

Muhammad Samraiz, Saima Naheed, Abdalstar A. Saleem
article en

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.

FilomatVol. 39(4)
University of Sargodha (PK)
Openalex Percentile: Top 73%
Mathematical Inequalities and Applications
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