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On Hilbert's Inequality and Its Applications
- Source :
- Journal of Mathematical Analysis and Applications. 212:316-323
- Publication Year :
- 1997
- Publisher :
- Elsevier BV, 1997.
-
Abstract
- In this paper, the weight coefficient of the form π − θ (n)/ 2n + 1 (with θ ( n ) > 0) is introduced. Improvements on Hilbert's inequality and the Hardy–Littlewood inequality are established, and these results are extended.
- Subjects :
- Kantorovich inequality
Hölder's inequality
Mathematics::Functional Analysis
Pure mathematics
Applied Mathematics
Ky Fan inequality
Mathematical analysis
Mathematics::Classical Analysis and ODEs
Poincaré inequality
Minkowski inequality
symbols.namesake
symbols
Log sum inequality
Rearrangement inequality
Bessel's inequality
Analysis
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 212
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi.dedup.....da2128648f5844d74702ff1fc322e9ba