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Equivalent property of a half-discrete Hilbert’s inequality with parameters
- Source :
- Journal of Inequalities and Applications, Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-11 (2018)
- Publication Year :
- 2018
- Publisher :
- Springer International Publishing, 2018.
-
Abstract
- By using the weight functions and the idea of introducing parameters, a half-discrete Hilbert inequality with a nonhomogeneous kernel and its equivalent form are given. The equivalent statements of the constant factor are best possible related to parameters, and some particular cases are considered. The cases of a homogeneous kernel are also deduced.
- Subjects :
- Pure mathematics
Weight function
Property (philosophy)
lcsh:Mathematics
Applied Mathematics
Research
010102 general mathematics
lcsh:QA1-939
Homogeneous kernel
01 natural sciences
Equivalent form
Best possible constant factor
010101 applied mathematics
Constant factor
26D15
Half-discrete Hilbert’s inequality
Kernel (statistics)
Discrete Mathematics and Combinatorics
0101 mathematics
Hilbert's inequality
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 1029242X and 10255834
- Volume :
- 2018
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....3cbbc95f62685cef078eafd398f03a6e