A functional generalization of the reverse Holder integral inequality on time scales

被引：7

作者：

Chen, Guangsheng ^{[1
]}

Chen, Zhan ^{[2
]}

机构：

[1] Guangxi Modern Vocat Technol Coll, Dept Comp Engn, Hechi 547000, Guangxi, Peoples R China

[2] Xuchang Univ, Acad Fine Arts, Xuchang 461000, Henan, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 11-12期

关键词：

Diamond-alpha integral; Time scale; Holder inequality; Minkowski's inequality;

D O I：

10.1016/j.mcm.2011.07.015

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we establish a functional generalization of the diamond-alpha integral reverse Holder inequality on time scales. Some related inequalities are also considered. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2939 / 2942

页数：4

共 17 条

[1]

Ammi MRS, 2008, J INEQUAL APPL, DOI 10.1155/2008/576876

[2]

Hardy Godfrey Harold, 1952, Inequalities, V2nd

[3]

Kuang J. C., 2003, APPL INEQUALITIES

[4] On a continuous form of Holder inequality [J].

Kwon, E. G. ;

Bae, E. K. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (01) :585-592

[5]

Malinowska AB, 2009, DYNAM SYST APPL, V18, P469

[6]

Mitrinovic D. S., 1970, Analytic Inequalities

[7] Notes on the diamond-α dynamic derivative on time scales [J].

Rogers, James W., Jr. ;

Sheng, Qin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) :228-241

[8] An exploration of combined dynamic derivatives on time scales and their applications [J].

Sheng, Q. ;

Fadag, M. ;

Henderson, J. ;

Davis, J. M. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (03) :395-413

[9]

Wu SH, 2005, INDIAN J PURE AP MAT, V36, P49

[10] Generalization of a sharp Holder's inequality and its application [J].

Wu, Shan He .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) :741-750

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