On some new inequalities of Hermite Hadamard types for hyperbolic p-convex functions

Year 2019, Volume: 68 Issue: 2, 1841 - 1851, 01.08.2019

Zeinab Yehia , Nashat Faried Mohamed S. S. Ali

https://doi.org/10.31801/cfsuasmas.471397

https://izlik.org/JA29DG92GC

Abstract

In this paper, we show that the power function fn(x) is hyperbolic
p-convex function. Furthermore, we establish some new integral inequalities
for higher powers of hyperbolic p-convex functions. Also, some applications
for special means are provided as well.

Keywords

Generalized convex functions; hyperbolic p-convex functions; support- ing functions; Hadamard's inequality.

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