HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRICALLY r-CONVEX FUNCTIONS

被引：24

作者：

Xi, Bo-Yan ^{[1
]}

Qi, Feng ^{[1
,2
,3
]}

机构：

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

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

[3] Henan Polytech Univ, Inst Math, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2014年 / 51卷 / 04期

关键词：

Hermite-Hadamard type inequality; geometrically r-convex function; Holder's inequality; integral identity; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; (ALPHA;

D O I：

10.1556/SScMath.51.2014.4.1294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, the authors introduce a new concept of geometrically r-convex functions and establish some inequalities of Hermite-Hadamard type for this class of functions.

引用

页码：530 / 546

页数：17

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