Some new fractional quantum integral inequalities

被引：14
|
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
收藏
页码：963 / 969
页数：7
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