A new discrete Hardy-type inequality with kernels and monotone functions

被引：2

作者：

Kalybay, Aigerim ^{[1
]}

Persson, Lars-Erik ^{[2
,3
]}

Temirkhanova, Ainur ^{[4
]}

机构：

[1] KIMEP Univ, Alma Ata 050010, Kazakhstan

[2] Lulea Univ Technol, S-97187 Lulea, Sweden

[3] Narvik Univ Coll, N-8505 Narvik, Norway

[4] LN Gumilyov Eurasian Natl Univ, Astana 010008, Kazakhstan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

inequality; Hardy-type inequality; kernel; matrix operator; monotone sequence; Oinarov condition; INTEGRAL-OPERATORS; BOUNDEDNESS; COMPACTNESS; SEQUENCES; SPACES;

D O I：

10.1186/s13660-015-0843-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new discrete Hardy-type inequality with kernels and monotone functions is proved for the case 1 < q < p < infinity. This result is discussed in a general framework and some applications related to Holder's summation method are pointed out.

引用

页数：10

共 17 条

[1] Weighted Hardy inequalities for decreasing sequences and functions [J].