Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (\(\alpha,m\))-convex
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Authors
Ye Shuang
- College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China.
Feng Qi
- Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China.
Yan Wang
- College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China.
Abstract
In the paper, the authors establish a new integral identity and by this identity with the Hölder integral
inequality, discover some new Hermite-Hadamard type integral inequalities for functions whose second
derivatives are (\(\alpha,m\))-convex.
Share and Cite
ISRP Style
Ye Shuang, Feng Qi, Yan Wang, Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (\(\alpha,m\))-convex, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 139--148
AMA Style
Shuang Ye, Qi Feng, Wang Yan, Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (\(\alpha,m\))-convex. J. Nonlinear Sci. Appl. (2016); 9(1):139--148
Chicago/Turabian Style
Shuang, Ye, Qi, Feng, Wang, Yan. "Some inequalities of Hermite--Hadamard type for functions whose second derivatives are boldsymbol (\(\alpha,m\))-convex." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 139--148
Keywords
- second derivative
- Hermite-Hadamard type inequality
- (\(\alpha،m\))-convex function
- Hölder integral inequality.
MSC
References
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