GENERALIZATION OF SOME INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS

被引：1

作者：

Mihai, Marcela V. ^{[1
]}

Ion, Daniel Alexandru ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, St AI Cuza 13, RO-200585 Craiova, Romania

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2014年 / 45卷 / 02期

关键词：

Convex function; Hermite-Hadamard inequality; Riemann-Liouville fractional integrals;

D O I：

10.5556/j.tkjm.45.2014.1545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some Hermite-Hadamard type inequalities are provided. We deal with functions whose derivatives in absolute value are convex or concave. By defining two cumulative gaps which enable us to generalize known results in the framework of Riemann Liouville fractional calculus, we open a new perspective on the classic statement of the inequality.

引用

页码：207 / 215

页数：9

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