Some Improvement on Hilbert's Inequality and Its Application

Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (4): 406-410.

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.

Abstract

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

CLC Number:

O178

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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Some Improvement on Hilbert's Inequality and Its Application

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