Some new inequalities for (k, s)-fractional integrals

被引：27

作者：

Aldhaifallah, M. ^{[1
]}

Tomar, M. ^{[2
]}

Nisar, K. S. ^{[3
]}

Purohit, S. D. ^{[4
]}

机构：

[1] Prince Sattam bin Abdulaziz Univ, Coll Engn Wadi Aldawaser, Dept Elect Engn, Al Kharj 11991, Riyadh Region, Saudi Arabia

[2] Ordu Univ, Fac Sci & Arts, Dept Math, Ordu, Turkey

[3] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci Wadi Al Dawaser, Dept Math, Al Kharj 11991, Riyadh Region, Saudi Arabia

[4] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 09期

关键词：

Integral inequalities; fractional integral inequalities; (k; s)-fractional integrals;

D O I：

10.22436/jnsa.009.09.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n is an element of N). Two classes of integral inequalities involving the (k, s) fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out. (C) 2016 All rights reserved.

引用

页码：5374 / 5381

页数：8

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