Inequalities for B-convex functions via generalized fractional integral

被引：0
|
作者：
Yesilce, Ilknur [1 ]
机构：
[1] Aksaray Univ, Fac Sci & Letters, Aksaray, Turkey
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年
关键词：
Generalized fractional integral; Hermite-Hadamard inequality; B-convex functions; Abstract convexity; B-1-CONVEX SETS;
D O I：
10.1186/s13660-019-2150-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, fractional calculus has become a very popular and important area. Specially, fractional integral inequalities have been studied by different authors. In this article, we give new Hermite-Hadamard type inequalities for B-convex functions via Riemann-Liouville and Hadamard fractional integrals. Also, we show that the inequalities involve the fractional integrals of a function with respect to the function g which are the more general form of these obtained Hermite-Hadamard inequalities.
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收藏
页数：15
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