Fractional Hermite-Hadamard Inequalities for Differentiable s-Godunova-Levin Functions

被引:20
作者
Awan, Muhammad Uzair [1 ]
Noor, Muhammad Aslam [2 ,3 ]
Mihai, Marcela V. [4 ]
Noor, Khalida Inayat [2 ]
机构
[1] GC Univ, Dept Math, Faisalabad, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad, Pakistan
[3] King Saud Univ, Dept Math, Riyadh, Saudi Arabia
[4] Romanian Math Soc, Branch Bucharest, Dept Sci Method Sess, Acad St 14, RO-010014 Bucharest, Romania
关键词
Hermite-Hadamard's inequalities; s-Godunova-Levin functions; Riemann-Liouville fractional integrals; CONVEX FUNCTIONS;
D O I
10.2298/FIL1612235A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the class of s-Godunova-Levin functions. We derive a new fractional integral identity for differentiable function. Using this new identity, we establish some new fractional Hermite-Hadamard type inequalities for the class of differentiable s-Godunova-Levin functions.
引用
收藏
页码:3235 / 3241
页数:7
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Mihai, Marcela V. ;
Noor, Muhammad Aslam ;
Noor, Khalida Inayat ;
Awan, Muhammad Uzair .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 :257-262