Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions

被引：91

作者：

Bai, Rui-Fang ^{[1
,2
]}

Qi, Feng ^{[3
,4
]}

Xi, Bo-Yan ^{[1
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

[2] Seventh Sch Neijiang, Neijiang City 641000, Sichuan Provinc, Peoples R China

[3] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China

[4] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

FILOMAT | 2013年 / 27卷 / 01期

关键词：

Hermite-Hadamard type inequality; m-logarithmically convex function; (alpha; m)-logarithmically convex function; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; FORMULA;

D O I：

10.2298/FIL1301001B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the authors introduce concepts of m- and (alpha, m)-logarithmically convex functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

引用

页码：1 / 7

页数：7

共 16 条

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[2]

[Anonymous], 2012, ANALYSIS-UK

[3]

[Anonymous], 1993, Stud. U. Babes-Bol. Mat.

[4]

[Anonymous], 2002, TAMKANG J MATH