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October 10, 2025Open Access

Several New Integral Inequalities of Hermite–Hadamard Type for Extended ϕh-s-Convex Functions

Key Points

New integral identities have been established, enhancing the understanding of extended phi h-s convex functions.
The paper presents several new integral inequalities which demonstrate the properties of hermite-hadamard inequalities.
The definitions of phi h-s convex functions have been modified to present more comprehensive results.
These findings could impact mathematical analysis and applications in various fields requiring advanced inequalities.

Abstract

In the paper, the authors modify the definitions of ϕh-s-convex functions and extended ϕh-s-convex functions, establish two new integral identities and, by virtue of these two integral identities, present several new integral inequalities of the Hermite–Hadamard type for extended ϕh-s-convex functions.

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Xi et al. (Wed,) studied this question.

synapsesocial.com/papers/68e861907ef2f04ca37e400a https://doi.org/https://doi.org/10.20944/preprints202510.0012.v1