INEQUALITIES OF JENSEN'S TYPE FOR GENERALIZED k-g-FRACTIONAL INTEGRALS

被引：1

作者：

Dragomir, Silvestru Sever ^{[1
,2
]}

机构：

[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne, Vic 8001, Australia

[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, DST NRF Ctr Excellence Math & Stat Sci, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2018年 / 49卷 / 03期

关键词：

Generalized Riemann-Liouville fractional integrals; Hadamard fractional integrals; Convex functions; Jensen type inequalities; Hermite-Hadamard type inequalities;

D O I：

10.5556/j.tkjm.49.2018.2690

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some inequalities of Jensen and Hermite-Hadamard type for the k-g-fractional integrals of convex functions defined an interval [a,b]. Some examples for the generalized left- and right-sided Riemann-Liouville fractional integrals of a function f with respect to another function g on [a,b] and for classical Riemann-Liouville fractional integrals are also given.

引用

页码：257 / 276

页数：20

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