ON AN INEQUALITY FOR CONVEX FUNCTIONS WITH SOME APPLICATIONS ON FRACTIONAL DERIVATIVES AND FRACTIONAL INTEGRALS

被引：9

作者：

Iqbal, Sajid ^{[1
]}

Krulic, Kristina ^{[2
]}

Pecaric, Josip ^{[1
,2
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2011年 / 5卷 / 02期

关键词：

Convex function; kernel; fractional derivative; fractional integrals;

D O I：

10.7153/jmi-05-20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of the paper is to state and prove the new general inequality for convex and increasing functions. We introduce some new inequalities by involving some fractional integrals and fractional derivatives of Riemman-Liouville, Canavati, Hadamard and Erdelyi-Kober type and apply our result to multidimensional setting to obtain new results involving mixed Riemman-Liouville fractional integrals.

引用

页码：219 / 230

页数：12

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