Generalized Fractional Integral Inequalities for Some Classes of Symmetrized Convex Functions

被引：2
|
作者：
Set, Erhan [1 ]
Gozpinar, Abdurrahman [1 ]
Alan, E. Aykan [1 ]
机构：
[1] Ordu Univ, Fac Sci & Arts, 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：
10.1063/1.5047883
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, firstly, we prove a new identity for symmetrized convex functions via generalized fractional integral operators. Secondly, with the help of these identities, some new Ilermite-Iladamard type inequalities for some classes of sytnmetrized convex function and Wright-quasi-convex functions are obtained. The main results generalize the existing Elermite-Hadamard type inequalities for symmetrized convex functions involving Riemann-Liouville fractional integrals. Finally, some results in this study, in some special cases, such as setting lambda=alpha, sigma(0) = 1 and w = 0, are found to yield the same results as previous works which studied by Dragomir in [3].
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页数：5
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