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

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

References

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