On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (α, m)-Logarithmically Convex Functions

被引：11

作者：

Latif, M. A. ^{[1
]}

Dragomir, S. S. ^{[1
,2
]}

Momoniat, E. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Private Bag 3, ZA-2050 Johannesburg, Johannesburg, South Africa

[2] Victoria Univ, Sch Engn & Sci, POB 14428, Melbourne, MC 8001, Australia

来源：

FILOMAT | 2016年 / 30卷 / 11期

关键词：

Hermite-Hadamard's inequality; m-logarithmically convex function; (alpha; m)-logarithmically convex function; Holder inequality; REAL NUMBERS; MAPPINGS;

D O I：

10.2298/FIL1611101L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are m- and (alpha, m)-logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are m- and (alpha, m)-logarithmically convex functions as special cases.

引用

页码：3101 / 3114

页数：14

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