Some more Generalizations of the Integral Inequalities of Hardy and Hilbert  ABSTRACT  |  FULL TEXT

Wen-wen Wei; xiao-yu Lei

EN TR

Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT

Abstract

In the present paper, we establish several new Hardy-Hilbert integral
inequalities, and give some applications to other integral inequalities.

Keywords

Hardy-Hilbert’s inequality,Integral inequality,2000 AMS Classification: 26 D 15

References

Du, H. X and Miao, Y. Several extended analogues of Hilbert’s inequalities, Demonstratio Math. XLII (2), 297–302, 2009.
Hardy, G. H., Littlewood, J. E. and Polya, G. Inequalities (Cambridge University Press, Cambridge, 1952).
Kuang, J. C. Applied Inequalities. Third Edition (Shandong Science and Technology Press, Jinan, 2004).
Miao, Y. and Du, H. X. A note of Hilbert type integral inequality, Inequality Theory & Applications 6, 261–267, 2010.
Sulaiman, W. T. New kinds of Hardy-Hilbert’s integral inequalities, Appl. Math. Lett. 23, 361–365, 2010.
Sun, B. Best generalization of Hilbert type inequality, J. Inequal. Pure Appl. Math. 7 (3), Art 113, 2006.
Yang, B. C. The norm of operator and Hilbert-type inequalities (Science Press, Beijing, 2009).

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Wen-wen Wei This is me

xiao-yu Lei This is me

Publication Date

June 1, 2011

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2011 Volume: 40 Number: 6

IZ

https://izlik.org/JA82MG73JT

Cite

RIS / Bibtex

APA

Wei, W.- wen, & Lei, xiao-yu. (2011). Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 40(6), 863-869. https://izlik.org/JA82MG73JT

AMA

1.Wei W wen, Lei xiaoyu. Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2011;40(6):863-869. https://izlik.org/JA82MG73JT

Chicago

Wei, Wen-wen, and xiao-yu Lei. 2011. “Some More Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 40 (6): 863-69. https://izlik.org/JA82MG73JT.

EndNote

Wei W- wen, Lei xiao-yu (June 1, 2011) Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 40 6 863–869.

IEEE

[1]W.- wen Wei and xiao-yuLei, “Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, pp. 863–869, June 2011, [Online]. Available: https://izlik.org/JA82MG73JT

ISNAD

Wei, Wen-wen - Lei, xiao-yu. “Some More Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 40/6 (June 1, 2011): 863-869. https://izlik.org/JA82MG73JT.

JAMA

1.Wei W- wen, Lei xiao-yu. Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2011;40:863–869.

MLA

Wei, Wen-wen, and xiao-yu Lei. “Some More Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, June 2011, pp. 863-9, https://izlik.org/JA82MG73JT.

Vancouver

1.Wen-wen Wei, xiao-yu Lei. Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Jun. 1;40(6):863-9. Available from: https://izlik.org/JA82MG73JT