Fractional quantum integral operator with general kernels and applications

被引：0

作者：

Babakhani, Azizollah ^{[1
]}

Neamaty, Abdolali ^{[2
]}

Yadollahzadeh, Milad ^{[2
]}

Agahi, Hamzeh ^{[1
]}

机构：

[1] Babol Noshirvani Univ Technol, Fac Basic Sci, Dept Math, Shariati Ave, Babol Sar 4714871167, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 4741695447, Iran

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2017年 / 20卷 / 01期

关键词：

Fractional quantum integral; generalized fractional operator; comonotone functions; integral inequalities; covariance inequality; CALCULUS;

D O I：

10.1142/S0219025717500035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first introduce the concept of fractional quantum integral with general kernels, which generalizes several types of fractional integrals known from the literature. Then we give more general versions of some integral inequalities for this operator, thus generalizing some previous results obtained by many researchers. 2,8,25,29,30,36

引用

页数：17

共 37 条

[31] CHEBYSHEV TYPE INEQUALITIES FOR THE SAIGO FRACTIONAL INTEGRALS AND THEIR q-ANALOGUES [J].