Harmonically $(s,P)$-Functions and Related Inequalities

Year 2025, Volume: 13 Issue: 2, 250 - 258, 31.10.2025

Mustafa Aydın , Erhan Set , İmdat İşcan

https://izlik.org/JA38LJ62XT

Abstract

In this paper, we introduce and investigate the concept of harmonically $(s,P)$-functions and establish Hermite-Hadamard type inequalities for this class of functions. In addition, we derive new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are harmonically $(s,P)$-functions, by employing Hölder's inequality and the power-mean inequality. Furthermore, we present some new inequalities related to special means of real numbers.

Keywords

s-convex function , Hermite-Hadamard inequality , (s P)-function

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