期刊文献+

关于核为对称-1齐次的Hilbert型不等式的加强

On the strengthen of Hildert type inequality with symmetric homogeneous kernel of-1-order
下载PDF
导出
摘要 研究了Hilber’s型序列算子及其范数.利用加强的Holder不等式对带范数的线性算子Hilbert型不等式作了改进,建立了一些新的不等式. A Hildert type series operator and its norm were studied.A improvement of Hildert type inequality with symmetric homogeneous kernel of-1-order,some new inequalities are established.
作者 贺乐平
出处 《湖南文理学院学报(自然科学版)》 CAS 2011年第3期6-7,12,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
基金 国家自然科学基金资助项目(10871081)
关键词 Hilbert序列算子 HILBERT不等式 Β函数 权函数 Hlder不等式 Hilbert series operator Hilbert inequality βfunction weight function Hlder inequality.
  • 相关文献

参考文献4

二级参考文献28

  • 1杨必成,高明哲.关于Hardy-Hilbert不等式中的一个最佳常数[J].数学进展,1997,26(2):159-164. 被引量:57
  • 2Hardy G. H., Littlewood J. E., Polya G., Inequalities, Cambridge: Cambridge University Press, 1952.
  • 3Mitrinovic D. S., Pecaric J. E., Fink A. M., Inequalities Involving Functions and Their Integrals and Derivatives, Boston: Kluwer Academic Publishers, 1991.
  • 4Gao M., Yang B., On the extended Hilbert's inequality, Proc. Amer. Math. Soc., 1998, 126(3): 751-759.
  • 5Yang B., On new generalizations of Hilbert's inequality, J. Math. Anal. Appl., 2000, 248(1): 29-40.
  • 6Yang B., Debnath L., On the extended Hardy-Hilbert inequalities, J. Math. Anal. Appl., 2002, 272(1): 187-199.
  • 7Krnic M., Pecaric J., General Hilbert's and Hardy's inequalities, Math. Inequal. Appl., 2005, 8(1): 29-51.
  • 8Yang B., Rassias T. M., On the way of weight coefficient and research for the Hilbert-type inequalities, Math. Inequal. Appl., 2003, 6(4): 625-658.
  • 9Yang B., On the norm of a Hilbert's type linear operator and applications, J. Math. Anal. Appl., 2007, 325(1): 529-541.
  • 10Hong Y., On the norm of a series operator with a symmetric and homogeneous kernel and its application, Acta Mathema~ica Sinica, Chinese Series, 2008, 51(2): 365-370.

共引文献53

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部