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On a new Hilbert-type integral inequality involving the upper limit functions
- Source :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalent statements of the best possible constant factor related to a few parameters. As applications, we obtain a corollary in the case of a nonhomogeneous kernel and some particular inequalities.
- Subjects :
- Limit of a function
Pure mathematics
Inequality
Hilbert-type integral inequality
Upper limit function
Parameter
media_common.quotation_subject
02 engineering and technology
Type (model theory)
01 natural sciences
Beta function
Corollary
0202 electrical engineering, electronic engineering, information engineering
Discrete Mathematics and Combinatorics
Beta (velocity)
0101 mathematics
Gamma function
media_common
Mathematics
Applied Mathematics
lcsh:Mathematics
010102 general mathematics
020206 networking & telecommunications
lcsh:QA1-939
Constant factor
Weight function
Kernel (statistics)
Analysis
Subjects
Details
- Language :
- English
- Volume :
- 2020
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....83ef8dea100d14b7142a5ec28a53aff6