The Hermite-Hadamard inequalities for $p$-convex functions

Abstract

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.

Keywords

• Hermite-Hadamard Inequality
• Convex set
• Convex functions
• p-Convex functions

References

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