Inequalities for n-class of functions using the Saigo fractional integral operator

被引：22

作者：

Khan, Hasib ^{[1
,2
]}

Tunc, Cemil ^{[3
]}

Baleanu, Dumitru ^{[1
,4
,5
]}

Khan, Aziz ^{[6
]}

Alkhazzan, Abdulwasea ^{[7
]}

机构：

[1] Hohai Univ, Coll Engn Mech & Mat, Nanjing 211100, Jiangsu, Peoples R China

[2] Shaheed Benazir Bhutto Univ, Dept Math, Dir Upper 18000, Khyber Pakhtunk, Pakistan

[3] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey

[4] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[5] Inst Space Sci, POB MG 23, Magurele 76900, Romania

[6] Univ Peshawar, Dept Math, Peshawar 25000, Khyber Pakhtunk, Pakistan

[7] Hohai Univ, Sch Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 03期

关键词：

Minkowski's inequality; Saigo fractional integral operator; Integral inequalities;

D O I：

10.1007/s13398-019-00624-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The role of fractional integral operators can be found as one of the best ways to generalize the classical inequalities. In this paper, we use the Saigo fractional integral operator to produce some inequalities for a class of n-decreasing positive functions. The results are more general than the available classical results in the literature.

引用

页码：2407 / 2420

页数：14

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