Abstract
We state and prove some new refined Hardy type inequalities using the notation of superquadratic and subquadratic functions with an integral operator Ak defined by, where k: Ω1 × Ω2 is a general nonnegative kernel, (Ω1, μ1) and (Ω2, μ2) are measure spaces and,. The relations to other results of this type are discussed and, in particular, some new integral identities of independent interest are obtained.
Original language | English |
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Pages (from-to) | 157-172 |
Number of pages | 16 |
Journal | Aequationes Mathematicae |
Volume | 79 |
Issue number | 1-2 |
DOIs | |
State | Published - Mar 2010 |
Bibliographical note
Funding Information:The research of the authors was supported by the Croatian Ministry of Science, Education and Sports, under the Research Grant 117-1170889-0888 (second author and third).
Keywords
- Hardy type operators
- Hardy's inequality
- Hardy-Hilbert's inequality
- Inequalities
- Integral identities
- Kernels
- Measures
- Subquadratic function
- Superquadratic function
ASJC Scopus subject areas
- General Mathematics
- Discrete Mathematics and Combinatorics
- Applied Mathematics