不等式的一个改进及其应用

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 406-410.

不等式的一个改进及其应用

Department of Mathematics and Computer Science, Normal College of Jishou University, Jishou 416000, China

收稿日期:2003-09-19 出版日期:2005-12-30 发布日期:2024-01-05
作者简介:GAO Ming-zhe(1940-),male,native of Anxiang,Hunan,a professor of Normal College of Jishou University,engages in function theory and differential equation;JIA Wei-jian(1959-),male(Tujiazu), native of Baojing,Hunan,an associate professor of Normal College of Jishou University,engages in function theory,probability and statistics.

Some Improvement on Hilbert's Inequality and Its Application

Department of Mathematics and Computer Science, Normal College of Jishou University, Jishou 416000, China

Received:2003-09-19 Online:2005-12-30 Published:2024-01-05
About author:GAO Ming-zhe(1940-),male,native of Anxiang,Hunan,a professor of Normal College of Jishou University,engages in function theory and differential equation;JIA Wei-jian(1959-),male(Tujiazu), native of Baojing,Hunan,an associate professor of Normal College of Jishou University,engages in function theory,probability and statistics.

摘要/Abstract

摘要： A new improvement of Hilbert’s inequality for double series can be established by means of a strengthened Cauchy’s inequality. As application, a quite sharp result on Fejer-Riesz’s inequality is obtained.

关键词: Hilbert's , , inequality;double , , series;Fejer-Riesz's , , inequality;uniform , , conver-
gence;decomposition , theorem

Abstract: A new improvement of Hilbert’s inequality for double series can be established by means of a strengthened Cauchy’s inequality. As application, a quite sharp result on Fejer-Riesz’s inequality is obtained.

Key words: Hilbert's , , inequality;double , , series;Fejer-Riesz's , , inequality;uniform , , conver-
gence;decomposition , theorem

中图分类号:

O178

高明哲, 贾维剑. 不等式的一个改进及其应用[J]. 数学季刊, 2005, 20(4): 406-410.

GAO Ming-zhe, JIA Wei-jian. Some Improvement on Hilbert's Inequality and Its Application[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 406-410.

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