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

Year 2011, Volume: 40 Issue: 6, 863 - 869, 01.06.2011

Abstract

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

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).

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

Year 2011, Volume: 40 Issue: 6, 863 - 869, 01.06.2011

Abstract

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).
There are 7 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Wen-wen Wei This is me

 xiao-yu Lei This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 6

Cite

APA Wei, W.-w., & Lei, .-y. (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.
AMA Wei Ww, Lei y. Some more Generalizations of the Integral Inequalities of Hardy and Hilbert  ABSTRACT  |  FULL TEXT. Hacettepe Journal of Mathematics and Statistics. June 2011;40(6):863-869.
Chicago 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 40, no. 6 (June 2011): 863-69.
EndNote Wei W-w, Lei -y (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 W.-w. Wei and  .-y. 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, pp. 863–869, 2011.
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 2011), 863-869.
JAMA Wei W-w, Lei -y. 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, 2011, pp. 863-9.
Vancouver Wei W-w, Lei -y. Some more Generalizations of the Integral Inequalities of Hardy and Hilbert  ABSTRACT  |  FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2011;40(6):863-9.