New Inequalities for GA–h Convex Functions via Generalized Fractional Integral Operators with Applications to Entropy and Mean Inequalities

We prove the inequalities of the weighted Hermite–Hadamard type the and Hermite–Hadamard–Mercer type for an extremely rich class of geometrically arithmetically-h-convex functions (GA-h-CFs) via generalized Hadamard–Fractional integral operators (HFIOs). The two generalized fractional integral opera...

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Bibliographic Details
Published in:	Fractal and fractional Vol. 8; no. 12; p. 728
Main Authors:	Fahad, Asfand, Ali, Zammad, Furuichi, Shigeru, Butt, Saad Ihsan, Ayesha, Ayesha, Wang, Yuanheng
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.12.2024
Subjects:	arithmetic mean Convex analysis Entropy Fractals Fractional calculus GA-h-convex functions generalized Hadamard fractional integral operators h-convex functions Hermite–Hadamard inequality Inequalities Inequality Investigations Mathematical functions Mercer inequality Operators (mathematics) Upper bounds
ISSN:	2504-3110, 2504-3110
Online Access:	Get full text
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