On some new developments of Hardy-type inequalities

被引：1
作者：
Abramovich, Shoshana [1 ]
Persson, Lars-Erik [2 ,3 ]
Samko, Natasha [4 ]
机构：
[1] Univ Haifa, IL-31999 Haifa, Israel
[2] Lulea Univ Technol, Lulea, Sweden
[3] Narvik Univ Coll, Narvik, Norway
[4] Inst Super Tecn, Lisbon, Portugal
来源：
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012) | 2012年 / 1493卷
关键词：
Inequalities; Hardy-type inequalities; convexity; superquadratic functions; superterzatic functions; best constants; scales of refined Hardy-type inequalities; scales of conditions to characterize Hardy-type inequalities; SCALES;
D O I：
10.1063/1.4765570
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present and discuss some new developments of Hardy-type inequalities, namely to derive (a) Hardy-type inequalities via a convexity approach, (b) refined scales of Hardy-type inequalities with other "breaking points" than p = 1 via superquadratic and superterzatic functions, (c) scales of conditions to characterize modern forms of weighted Hardy-type inequalities.
引用
收藏
页码：739 / 746
页数：8
相关论文
共 34 条
[1]  
Abramovich S., MATH INEQUA IN PRESS
[2]  
Abramovich S., OPERATOR TH IN PRESS
[3]  
Abramovich S., 2004, Bull. Math. Soc. Sci. Math. Roum., N. S., V47, P3
[4]  
Abramovich S., 2010, INEQUALITIES APPL, V191-207
[5]  
[Anonymous], 1978, Canad. Math. Bull., DOI 10.4153/CMB-1978-071-7
[6]  
[Anonymous], 1922, FONCTIONS QUASIANALY
[7]   Fourier's series and analytic functions [J].
Carleman, T ;
Hardy, GH .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1922, 101 (709) :124-133
[8]  
GODUNOVA EK, 1970, AM MATH SOC TRANSL, V88, P57
[9]  
Gogatishvili A., 2004, REAL ANAL EXCHANGE, V29, P867
[10]   Some new scales of characterization of Hardy's inequality [J].
Gogatishvili, Amiran ;
Kufner, Alois ;
Persson, Lars-Erik .
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2010, 59 (01) :7-18
1234