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

共 33 条

[1] On The Hadamard's Inequality for Log-Convex Functions on the Coordinates [J].

Alomari, Mohammad ;

Darus, Maslina .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

[2]

[Anonymous], 2013, ANALYSIS-UK, DOI DOI 10.1524/ANLY.2013.1192

[3]

[Anonymous], 2009, International Mathematical Forum

[4]

[Anonymous], 2013, GLOB J MATH ANAL, DOI DOI 10.13140/2.1.2919.7126

[5]

[Anonymous], 2013, NONLINEAR FUNCTIONAL

[6]

[Anonymous], 2013, Transylv. J. Math. Mech.

[7]

[Anonymous], 2010, J . I n e q u a l . A p p l . , 2 0 1 0, DOI [10.1155/2010/5, DOI 10.1155/2010/5]

[8]

[Anonymous], APPL MATH

[9]

[Anonymous], 2001, Australian Mathematical Society Gazette

[10]

[Anonymous], 2013, Adv. Inequal. Appl

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