Integral inequalities of Hermite-Hadamard type for (α,m)-GA-F-convex functions

Yan Wang; Xi-Min Liu; Bo-Yan Xi; Feng Qi

doi:10.2298/fil2528161w

January 1, 2025FilomatOpen Access

Integral inequalities of Hermite-Hadamard type for (α,m)-GA-F-convex functions

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Key Points

The aim is to define (α, m)-geometric-arithmetic-F-convex functions and derive integral inequalities related to them.
Introduced (α, m)-GA-F-convex functions through a new definition.
Developed integral identities and employed analytic techniques for proving inequalities.
Established several integral inequalities of the Hermite-Hadamard type for these functions.
Demonstrated new integral inequalities that extend Hermite-Hadamard inequalities to (α, m)-GA-F-convex functions.
Identified specific functional relationships that enhance understanding of convexity in this context.

Implication

New inequalities reveal relationships for (α,m)-GA-F-convex functions, suggesting deeper insights into their properties.

Abstract

In the paper, the authors introduce a notion of (α, m)-geometric-arithmetic-F-convex functions and, via an integral identity and other analytic techniques, establish several integral inequalities of the Hermite-Hadamard type for (α, m)-GA-F-convex functions.

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Cite This Study

Wang et al. (2025) studied this question.

synapsesocial.com/papers/6a0bfda5166b51b53d378f86 https://doi.org/10.2298/fil2528161w

View Full Paper

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Integral inequalities of Hermite-Hadamard type for (α,m)-GA-F-convex functions

Key Points

Implication

Abstract

Discussion

Cite This Study

Integral inequalities of Hermite-Hadamard type for (α,m)-GA-F-convex functions

Key Points

Implication

Abstract

Discussion

Cite This Study

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