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Generalizations of Hermite-Hadamard type inequalities for MT-convex functions

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成果类型:
期刊论文
作者:
Chu, Yu-Ming;Khan, Muhammad Adil*;Khan, Tahir Ullah;Ali, Tahir
通讯作者:
Khan, Muhammad Adil
作者机构:
[Chu, Yu-Ming] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
[Khan, Muhammad Adil; Ali, Tahir; Khan, Tahir Ullah] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan.
通讯机构:
[Khan, Muhammad Adil] U
Univ Peshawar, Dept Math, Peshawar 25000, Pakistan.
语种:
英文
关键词:
MT-convex function;Hermite-Hadamard inequality;fractional integrals;trapezoidal formula;error approximation
期刊:
Journal of Nonlinear Sciences and Applications
ISSN:
2008-1898
年:
2016
卷:
9
期:
6
页码:
4305-4316
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61374086, 11401191, 11371125]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
In this paper, we discover two novel integral identities for twice differentiable functions. Under the utility of these identities, we establish some generalized inequalities for classical integrals and Riemann-Liouville fractional integrals of the Hermite-Hadamard type via functions whose derivatives absolute values are MT-convex. At the end, we present applications for special means and several error approximations for the ...

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