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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Volume: 40 Issue: 6

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

Wen-wen Wei
xiao-yu Lei
Sayfa
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Yayın Tarihi
2011-06-01
DOI
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In the present paper, we establish several new Hardy-Hilbert integral inequalities, and give some applications to other integral inequalities.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present paper, we establish several new Hardy-Hilbert integral inequalities, and give some applications to other integral inequalities.
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Temel Bulgular & Veri:In the present paper, we establish several new Hardy-Hilbert integral inequalities, and give some applications to other integral inequalities.
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Sonuç & Katkı:In the present paper, we establish several new Hardy-Hilbert integral inequalities, and give some applications to other integral inequalities.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hardy-Hilbert’s inequality · Integral inequality · 2000 AMS Classification: 26 D 15

Abstract

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

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Bu Makaleye Atıf Yap

Wei, W., Lei, X. (2011). Some more Generalizations of the Integral Inequalities of Hardy and Hilbert ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 6. https://ajindex.com/articles/1403596

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Kaynakça (7)

  1. Du, H. X and Miao, Y. Several extended analogues of Hilbert’s inequalities, Demonstratio Math. XLII (2), 297–302, 2009.
  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).