Hermite-Hadamard Type Inequality for Functions whose Derivatives Absolute Values are Operator Quasi-Convex

被引：0

作者：

Ünlüyol, Erdal ^{[1
]}

Erdas, Yeter ^{[2
]}

机构：

[1] Ordu Univ, Fac Arts & Sci, Dept Math, Ordu, Turkey

[2] Ordu Univ, Inst Sci, Dept Math, Ordu, Turkey

来源：

1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018) | 2018年 / 1991卷

关键词：

D O I：

10.1063/1.5047892

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, firstly the definition of operator quasi-convex function is given. Secondly, two new lemmas have been given and proven. Later new theorems are expressed and proved with the help of these lemmas. Finally, we obtained some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are operator quasi-convex.

引用

下载

页数：5

共 50 条

[1] Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
Wu, Shan-He
Sroysang, Banyat
Xie, Jin-Shan
Chu, Yu-Ming
SPRINGERPLUS, 2015, 4 : 1 - 9
[2] NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX
Alomari, M.
Darus, M.
Dragomir, S. S.
TAMKANG JOURNAL OF MATHEMATICS, 2010, 41 (04): : 353 - 359
[3] SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE QUASI-CONVEX
Meftah, B.
Merad, M.
Souahi, A.
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 12 (02): : 219 - 231
[4] Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
Ali Barani
Amir G Ghazanfari
Sever S Dragomir
Journal of Inequalities and Applications, 2012
[5] Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
Barani, Ali
Ghazanfari, Amir G.
Dragomir, Sever S.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[6] Hermite-Hadamard Type Inequalities for Functions Whose Derivatives are Operator Convex
Ghazanfari, A. G.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 10 (08) : 1695 - 1703
[7] INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE m-CONVEX
Set, Erhan
Ozdemir, M. Emin
Sarikaya, Mehmet Zeki
ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 861 - +
[8] Generalization of Hermite-Hadamard Inequality for Twice Differentiable Convex and Quasi-Convex Functions
Rachhadiya B.M.
Singh T.R.
International Journal of Applied and Computational Mathematics, 2023, 9 (6)
[9] Some estimates on the Hermite-Hadamard inequality through quasi-convex functions
Ion, Daniel Alexandru
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2007, 34 : 83 - 88
[10] SOME ESTIMATES ON THE HERMITE-HADAMARD INEQUALITY THROUGH GEOMETRICALLY QUASI-CONVEX FUNCTIONS
Latif, M. A.
Dragomir, Sever S.
Momoniat, E.
MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 933 - 946

← 1 2 3 4 5 →