Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals

In this investigation, Hermite-Hadamard-type inequalities are acquired forco-ordinated convex functions using generalized fractional integrals. Theseintegrals include several well-known fractional operators, such as theRiemann-Liouville, Hadamard, and Katugampola fractional integrals. Thefindings of this study extend and generalize various inequalities from theexisting literature. Moreover, by choosing specific parameter values, theestablished inequalities reduce to known results as special cases. Inaddition to these generalizations, new inequalities are established. Todemonstrate the applicability of the results, examples are given, andgraphical representations are utilized to support their validity.

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Publication Details

Journal
Mathematical Sciences and Applications E-Notes
Published
2026-04-11
DOI
https://doi.org/10.36753/mathenot.1891384
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals

FATİH HEZENCİ, Hasan Kara, Hüseyin Budak
Mathematical Sciences and Applications E-Notes
Mathematical Inequalities and Applications
article

Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals

FATİH HEZENCİ, Hasan Kara, Hüseyin Budak
article en

Abstract

In this investigation, Hermite-Hadamard-type inequalities are acquired forco-ordinated convex functions using generalized fractional integrals. Theseintegrals include several well-known fractional operators, such as theRiemann-Liouville, Hadamard, and Katugampola fractional integrals. Thefindings of this study extend and generalize various inequalities from theexisting literature. Moreover, by choosing specific parameter values, theestablished inequalities reduce to known results as special cases. Inaddition to these generalizations, new inequalities are established. Todemonstrate the applicability of the results, examples are given, andgraphical representations are utilized to support their validity.

Mathematical Sciences and Applications E-Notes(Advanced Online Publication)
Kocaeli Üniversitesi (TR), Düzce Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 16%
Mathematical Inequalities and Applications
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