On a Strengthened Hardy-Littlewood-Polya Inequality

Bao Ju Sun

doi:10.4028/www.scientific.net/AMR.542-543.184

Paper Titles

Application of Virtual Instrument on Condition Monitoring and Fault Diagnosis System of the Rotating Machinery
p.161

Traffic Signal Lamp Control System Design Based on S7-200
p.165

A Adaptive Wireless Sensor Networks for Marine Monitoring
p.169

Development of Air Flow Control System for Large-Scale Pre-Oxidation Furnace
p.179

On a Strengthened Hardy-Littlewood-Polya Inequality
p.184

Existence of Extremal Solutions for Impulsive Delay Fuzzy Differential Equations in n-Dimensional Fuzzy Vector Space
p.188

Design of Trash Rack Water Level Measurement and Control System Based on Ultrasonic
p.194

An Approach Based on Power Generalized Aggregation Operator to Decision Making
p.198

The Control Strategy of the Rotor-Side PWM Converter Based on Doubly-Fed Induction Generator
p.204

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 542-543On a Strengthened Hardy-Littlewood-Polya...

On a Strengthened Hardy-Littlewood-Polya Inequality

Abstract:

In this paper, by using the improved Euler-Maclaurin’s summation formula and estimating the weight coefficient, a strengthened Hardy-Littlewood-Polya inequality is established.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 542-543)

Pages:

184-187

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.542-543.184

Citation:

Cite this paper

Online since:

June 2012

Authors:

Bao Ju Sun

Keywords:

Euler-Maclaurin’s Summation Formula, Hardy Hilbert Inequality, Hardy-Littlewood-Polya Inequality, Weight Coefficient

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Gambridge University Press, Gambridge, UK, 2 nd edition, 1952.

Google Scholar

[2] D. S. Mitrinovic, J. E. Pecaric, A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Boston, 1991.

Google Scholar

[3] M.-Z. Gao and B.-C Yang, On the extended Hilbert's inequality, Proceeding of the American Mathematical Society, 126(3)(1998), no.3, 751-759.

Google Scholar

[4] B.-C Yang and M.-Z. Gao, On a Best value of Hardy Hilbert's inequality, Adv. Math.,26(2),(1997),156-164. (Chinese)

Google Scholar

[5] Q. -L. Huang, A strengthened Hilbert-type inequality, Journal of Guangdong Education Institute (Science Edition), 26(3)(2006), 15-18. (Chinese)

Google Scholar

[6] B.-C Yang, A strengthened Hilbert-type inequality, Journal of Shanghai University (Science Edition), 12(3)(2006), 256-259. (Chinese)

Google Scholar

[7] K. Jichang and L. Debnath, On new generalizations of Hilbert's inequality and their applications, Journal of Mathematical Analysis and Applications, 245(1)(2000), 248-265.

DOI: 10.1006/jmaa.2000.6766

Google Scholar

[8] B.-C Yang, A new Hilbert-type inequality and its extensions, Journal of Zhejiang University (Science Edition), 34(5)(2007), 488-491. (Chinese)

Google Scholar

[9] B.-C Yang, On a base Hilbert –type inequality, Journal of Guangdong Education Institute (Science Edition), 26(3)(2006), 2006, 1-5. (Chinese)

Google Scholar

[10] B.-C Yang, A more accurate Hilbert–type inequality, College Mathematics, 21(5)(2005), 99-102. (Chinese)

Google Scholar

[11] B. G. Pachpatte, On some inequalities similar to Hilbert's inequality, Journal of Mathematical Analysis and Applications, 226(1)(1998), 166-179.

DOI: 10.1006/jmaa.1998.6043

Google Scholar

[12] B.-C Yang, On an extension of Hardy-Hilbert's integral inequality, Chinese Annals of Mathematics, Series A, 23(2)(2002), 247-254. (Chinese)

Google Scholar

[13] B.-C Yang, On a generalization of the Hilbert's type integral inequality and its applications, Chinese Journal of Engineering Mathematics, 21(5)(2004), 821-824. (Chinese)

Google Scholar

[14] Y. Li, Z. Wang and B. He, Hilbert's type line operator and some extensions of Hilbert's inequality, Journal of inequalities and Applications, vol. 2007, Article ID 82138, 10 pages.

Google Scholar