Some new fractional q-integral Gruss-type inequalities and other inequalities

被引：24

作者：

Zhu, Chaowu ^{[1
]}

Yang, Wengui ^{[1
]}

Zhao, Qingbo ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

fractional q-integral; integral inequalities; Gruss-type inequalities; DERIVATIVES;

D O I：

10.1186/1029-242X-2012-299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, 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 some new fractional q-integral Gruss-type inequalities by using one or two fractional parameters. Furthermore, other fractional q-integral inequalities are also obtained. MSC: 26D10; 26A33

引用

页数：15

共 19 条

[1] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].

AGARWAL, RP .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 :365-&

[2] SOME FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].

ALSALAM, WA .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 :135-&

[3] The tanh and the sine-cosine methods for the complex modified K dV and the generalized KdV and the generalized K dV equations [J].

Wazwaz, AM .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) :1101-1112

[4] Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications [J].

Anastassiou, George A. .

MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (3-4) :344-374

[5] Multivariate fractional Ostrowski type inequalities [J].

Anastassiou, George A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (03) :434-447

[6] Hilbert-Pachpatte type fractional integral inequalities [J].

Anastassiou, George A. .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1539-1550

[7]

[Anonymous], 2009, J INEQUAL PURE APPL

[8]

[Anonymous], 2003, J INEQUAL PURE APPL

[9] Fractional q-calculus on a time scale [J].

Atici, Ferhan M. ;

Eloe, Paul W. .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2007, 14 (03) :333-344

[10]

Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1

← 1 2 →