A weighted version of Hermite-Hadamard type inequalities for strongly GA-convex functions

被引：13

作者：

Sharma, Nidhi ^{[1
]}

Mishra, S. K. ^{[1
]}

Hamdi, A. ^{[2
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi, Uttar Pradesh, India

[2] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Doha, Qatar

来源：

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2020年 / 7卷 / 03期

关键词：

Convex function; Geometrically symmetric function; Strongly GA-convex function; Hermite Hadamard inequality; Holder inequality;

D O I：

10.21833/ijaas.2020.03.012

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have established new weighted Hermite-Hadamard type inequalities for strongly GA-convex functions. Those findings are obtained by using geometric symmetry of continuous positive mappings and differentiable mappings whose derivative in absolute value are strongly GA-convex. Some previous results are special cases of the results obtained in this paper. (C) 2020 The Authors. Published by IASE.

引用

页码：113 / 118

页数：6

共 18 条

[1]

[Anonymous], CONVEX FUNCTIONS THE

[2]

Dragomir S. S., 2003, SELECTED TOPICS HERM

[3]

Karamardian S., 1969, Journal of Optimization Theory and Applications, V4, P87, DOI 10.1007/BF00927414

[4]

Karamardian S., 1969, Journal of Optimization Theory and Applications, V4, P167, DOI 10.1007/BF00930577

[5]

Latif M. A., 2014, Analysis, V34, P379

[6] Remarks on strongly convex functions [J].

Merentes, Nelson ;

Nikodem, Kazimierz .

AEQUATIONES MATHEMATICAE, 2010, 80 (1-2) :193-199

[7] Convexity according to the geometric mean [J].

Niculescu, CP .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2000, 3 (02) :155-167

[8] CHARACTERIZATIONS OF INNER PRODUCT SPACES BY STRONGLY CONVEX FUNCTIONS [J].

Nikodem, Kazimierz ;

Pales, Zsolt .

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2011, 5 (01) :83-87

[9]

Noor M.A., 2014, Creat. Math. Inform, V23, P91, DOI DOI 10.37193/CMI.2014.01.14

[10] Generalized geometrically convex functions and inequalities [J].

Noor, Muhammad Aslam ;

Noor, Khalida Inayat ;

Safdar, Farhat .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,

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