Some new fractional quantum integral inequalities

被引：15

作者：

Yang, Wengui ^{[1
]}

机构：

[1] Sanmenxia Polytech, Minist Publ Educ, Sanmenxia 472000, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 06期

关键词：

Fractional q-integral inequalities; Chebyshev type inequalities; Cauchy's inequality; Holder's inequality; Minkowski's inequality; DERIVATIVES;

D O I：

10.1016/j.aml.2011.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we employ a fractional q-integral on the specific time scale T-t0 = {t : t = t(0)q(n), n a nonnegative integer } boolean OR {0}, where t(0) is an element of R and 0 < q < 1, to establish two fractional q-integral Chebyshev type inequalities using one or two fractional parameters. Furthermore, other fractional q-integral inequalities related to Cauchy's inequality, Holder's inequality and Minkowski's inequality are also obtained. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：963 / 969

页数：7

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