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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 6

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

Wen-wen WEİ
xiao-yu LEİ
Pages
863–869
Publication Date
2011-06-01
DOI
—
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In the present paper, we establish several new Hardy-Hilbert integralinequalities, and give some applications to other integral inequalities.

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Objective & Hypothesis:In the present paper, we establish several new Hardy-Hilbert integralinequalities, and give some applications to other integral inequalities.
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Key Findings & Data:In the present paper, we establish several new Hardy-Hilbert integralinequalities, and give some applications to other integral inequalities.
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Conclusion & Impact:In the present paper, we establish several new Hardy-Hilbert integralinequalities, and give some applications to other integral inequalities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hardy-Hilbert’s inequality · Integral inequality · 2000 AMS Classification: 26 D 15

Abstract

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

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Cite This Article

WEİ, W., LEİ, X. (2011). Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 6, 863–869. https://ajindex.com/articles/669683

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References (7)

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