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On the Generalizations of Hilbert’s Inequality

On the Generalizations of Hilbert's Inequality
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摘要 In this paper,by employing a refined Cauchy’s inequality,some strengthened Hilbert’s inequality with parameter A,B,λ are further improved. In this paper, by employing a refined Cauchy's inequality, some strengthened Hilbert's inequality with parameter A, B,λ, are further improved.
出处 《湘潭师范学院学报(自然科学版)》 2006年第3期1-4,共4页 Journal of Xiangtan Normal University (Natural Science Edition)
关键词 希尔伯特不等式 柯西不等式 权函数 Β函数 Hilbert inequality Cauchy's inequality weight function beta function
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参考文献6

  • 1He Leping, Gao Mingzhe, Wei Shangrong. A Note on Hillbert's Inequality[J]. Mathematical Inequalities & Applications, 2003,6(2): 283 - 288, Croatia.
  • 2Gao Mingzhe. On the Hilbert Inequality[J]. Zeitschrift ftir Analysis und ihre Anwendungen, 1999,18(4):1117- 1122, Germany.
  • 3Yang Bicheng. On New Generalization of Hillbert's Inequality[J]. J Math Anal Appl, 2002,248:29- 40.
  • 4Zhang Nanyue. Euler- Maclaurin summation formula and Its Application[J]. Math In Practice and Theory, 1985,1:30- 38.
  • 5Gao Mingzhe, Wei Shangrong, He Leping. On the Hilbert Inequality With Weights[J]. Zeitschrift far Analysis und ihre Anwendungen, 2002,21(1): 257-263. Germany.
  • 6W H Greub. Linear Algrbra[M]. Berlin: SpfingerVerlag, 1963:161.

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