Integral inequalities of the Hermite--Hadamard type for (\(\alpha,m\))-GA-convex functions
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Authors
Ye Shuang
- College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China.
Feng Qi
- Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China.
- Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China.
Abstract
In this paper, the authors introduce a notion “ (\(\alpha,m\))-GA-convex function” and establish some Hermite–Hadamard type
inequalities for this kind of convex functions.
Share and Cite
ISRP Style
Ye Shuang, Feng Qi, Integral inequalities of the Hermite--Hadamard type for (\(\alpha,m\))-GA-convex functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1854--1860
AMA Style
Shuang Ye, Qi Feng, Integral inequalities of the Hermite--Hadamard type for (\(\alpha,m\))-GA-convex functions. J. Nonlinear Sci. Appl. (2017); 10(4):1854--1860
Chicago/Turabian Style
Shuang, Ye, Qi, Feng. "Integral inequalities of the Hermite--Hadamard type for (\(\alpha,m\))-GA-convex functions." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1854--1860
Keywords
- Hermite–Hadamard type integral inequality
- (\(\alpha،m\))-convex function
- (\(\alpha،m\))-GA-convex function.
MSC
References
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