期刊文献+

关于加权几何平均不等式的两个等价条件

Two Equivalence Conditions of Weighted Geometric Average Inequality
下载PDF
导出
摘要 研究了(p,q)型加权几何平均不等式,对0<p≤q<∞的情形,给出了(p,q)型加权几何平均不等式成立的两个充分必要条件的等价性的直接证明. A weighted geometric average inequality of type is studied. For, two equivalence conditions of the weighted geometric average inequality of type is proved.
作者 马雪雅
出处 《新疆大学学报(自然科学版)》 CAS 2006年第4期408-409,共2页 Journal of Xinjiang University(Natural Science Edition)
关键词 几何平均 加权不等式 geometric means weighted inequality
  • 相关文献

参考文献7

  • 1马雪雅.关于非增序列的加权Hardy不等式[J].数学杂志,2005,25(6):675-680. 被引量:3
  • 2Muckenhoupt, B. Hardy's inequality with weights[J]. Studia Math, 1972, 44 (1): 31-38.
  • 3Opic, B, Gurka P. Weighted inequalities for geometric means[J]. Proc Amer Math Soc, 1994,120(3):771-779.
  • 4Persson, L. -E, Stepanov, V D. Weighted integral inegualities with the geometric mean oprator[J]. J Inequal Appl,2002, 7(5): 727-746.
  • 5Piek L, Opic B. On the geometric mean operator[J]. J Math Anal Appl, 1994,183(3):652-662.
  • 6施咸亮.与几何平均有关的两个不等式[J].浙江师范大学学报:自然科学版,1980,1(1):21-25.
  • 7Stepanov V D. The weighted Hardy's inequality for nonincreasing functions[J]. Trans Amer Math Soc, 1993, 338(1):173-186.

二级参考文献9

  • 1周民强.调和分析讲义[M].北京:北京大学出版社,1999..
  • 2Arino M. and Muckenhoupt B.. Maximal function on classical Lorentz spaces and Hardy's inequality with weights for nonincreasing functions[J], Trans. Amer. Math. Soc. , 1990,320(2): 727-735.
  • 3Bradley J. S.. Hardy inequalities with mixed norms[J], Canad. Math. Bull. ,1978,21(4) :405-408.
  • 4丁勇.带权Hardy不等式[J].杭州大学学报:自然科学版,1984,11(2):168-176.
  • 5Muckenhoupt B.. Weighted norm inequalities for the Hardy maximal function[J], Trans. Amer.Math. Soc. ,1972, 165(1) :207-226.
  • 6Muckenhoupt B.. Hardy's inequality with weights[J], Studia Math. ,1972, 44(1):31-38.
  • 7Rakotondratsimba Y.. Weighted inequalities for some discrete operators[J], Mathematica, 2001,43(66) :233-243.
  • 8Stein E. M.. Harmonic Analysis: Real-variable Mathods, Orthogonality, and Oscillatory Integrals [M], Princeton:Princeton Univ. Press, 1993.
  • 9Stepanov V.D.. The weighted Hardy's inequality for nonincreasing functions[J], Trans. Amer.Math. Soc. ,1993, 338(1):173-186.

共引文献3

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