Hermite-Hadamard Inequalities via Riemann-Liouville Fractional Integrals with Generalized Convex Functions
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6413Keywords:
Geometrically arithmetically $(\alpha,m)$-convex, Hermite-Hadamard type inequalities, H\"older's inequality, Fractional integralsAbstract
In this study, novel fractional integral inequalities for twice-differentiable geometrically arithmetically $(\alpha, m)$-convex functions are presented. The classical Riemann-Liouville fractional integrals are used to obtain several new identities. By employing the above convexity, Hermite-Hadamard type inequalities are investigated using these identities. The main findings of this work extend the existing literature and are derived as special cases.
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Copyright (c) 2025 Muhammad Samraiz, Tahira Atta, Saima Naheed, Gauhar Rahman, Miguel Vivas-Cortez
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