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On a Strengthened of the More Accurate Hilbert's Inequality

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2011

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
By deducing the inequality of weight coefficient: !(n) = ∞ X m=0 1 m+ n+1 ( 2n +1 2m+1 ) 1 2 < − 5 6(p2n+1+ 3 4 p (2n+1)−1) , where n ∈ N. We obtain on a strengthened of the more accurate Hilbert’s inequality.
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  • 1
83-88
  • English

REFERENCES

References: 

[1] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, 1952.
[2] B. Yang, A refinement of Hilbert’s inequality, Huanghuai Journal, 13.2: 47-51. 1997.
[3] B. Yang, On a strengthened version of the more accurate Hardy-Hilbert’s inequality, Acta
Mathematica Sinica, 42.6: 1103-1110. 1999.
[4] B. Yang and L. Debnath, On a New Generalization of Hardy-Hilbert’s Inequality and Its
Applications, Journal of Mathematical Analysis and Applications, 233, 484-497. 1999.
[5] J. C. Kuang and L. Debnath, On a new generalization of Hilbert’s inequality and their
applications, J. Math. Anal. Appl., 245: 248-265. 2000.

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