一个推广的Hibert不等式及其应用

数学季刊 ›› 2006, Vol. 21 ›› Issue (1): 96-102.

一个推广的Hibert不等式及其应用

Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China

收稿日期:2003-10-22 出版日期:2006-03-30 发布日期:2023-12-22
作者简介:YANG Bi-cheng(1947-),male,native of Shanwei,Guangdong,a professor of Guangdong Insti- tute of Education,engages in operator theory and analysis inequalities.
基金资助:
Supported by the NSF of Guangdong Institutions of Higher Learning, College and University(0177).；

On an Extension of Hibert's Inequality and Applications

Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China

Received:2003-10-22 Online:2006-03-30 Published:2023-12-22
About author:YANG Bi-cheng(1947-),male,native of Shanwei,Guangdong,a professor of Guangdong Insti- tute of Education,engages in operator theory and analysis inequalities.
Supported by:
Supported by the NSF of Guangdong Institutions of Higher Learning, College and University(0177).；

摘要/Abstract

摘要： This paper gives a new generalization of Hilbert’s inequality with a best constant factor involving theβfunction. An applications, we consider the equivalent form and some particular results.

关键词: Hilbert's , inequality;weight , coefficient;β , function;Holder's , inequality

Abstract: This paper gives a new generalization of Hilbert’s inequality with a best constant factor involving theβfunction. An applications, we consider the equivalent form and some particular results.

Key words: Hilbert's , inequality;weight , coefficient;β , function;Holder's , inequality

中图分类号:

O178

杨必成. 一个推广的Hibert不等式及其应用[J]. 数学季刊, 2006, 21(1): 96-102.

YANG Bi-cheng . On an Extension of Hibert's Inequality and Applications[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 96-102.

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