Inequalities similar to certain extensions of Hilbert's inequality

被引:25
作者
Pachpatte, BG [1 ]
机构
[1] Marathwada Univ, Dept Math, Aurangabad 431004, Maharashtra, India
关键词
inequalities; Hilbert's inequality; Hilbert's double-series theorem; integral analogue; Holder's inequality; order of summations;
D O I
10.1006/jmaa.1999.6646
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper we establish some new inequalities similar to certain extensions of Hilbert's inequality by using a fairly elementary analysis. (C) 2000 Academic Press.
引用
收藏
页码:217 / 227
页数:11
相关论文
共 12 条
[1]  
[Anonymous], J LONDON MATH SOC
[2]  
CHOW Y. C., 1939, J LOND MATH SOC, V14, P151
[3]  
Hardy G.H., 1952, Inequalities
[4]  
Levin V., 1936, J LOND MATH SOC, V11, P119, DOI DOI 10.1112/JLMS/S1-11.2.119
[5]  
MINGZE G, 1997, J MATH ANAL APPL, V212, P316
[6]  
Mitrinovic D. S., 1970, Analytic Inequalities, V1
[7]   ON INEQUALITIES OF HILBERT AND WIDDER [J].
MITRINOVIC, DS ;
PECARIC, JE .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1991, 34 :411-414
[8]  
Pachpatte B.G., 1998, Tamkang J. Math, V29, P293, DOI [10.5556/j.tkjm.29.1998.4258, DOI 10.5556/J.TKJM.29.1998.4258]
[9]   On some new inequalities similar to Hilbert's inequality [J].
Pachpatte, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (01) :166-179
[10]  
PACHPATTE BG, IN PRESS B I POLYTEC