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
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.
引用
收藏
页数:15
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