SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS

Year 2017, Volume: 35 Issue: 3 , 363 - 368 , 01.09.2017

İmdat İşcan Huriye Kadakal Mahir Kadakal

https://izlik.org/JA29XZ36PS

Abstract

In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions. Using this inequalities, we obtain some new inequalities connected with means.

Keywords

Convex function , quasi-convex function , Hölder Integral inequality and Power-Mean Integral inequality

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