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On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function
- Source :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- Using weight functions, we establish a few equivalent statements of two kinds of Hardy-type integral inequalities with nonhomogeneous kernel in the whole plane. The constant factors related to the extended Hurwitz-zeta function are proved to be the best possible. In the form of applications, we deduce some special cases involving homogeneous kernel. We additionally consider some particular inequalities and operator expressions.
- Subjects :
- Pure mathematics
Plane (geometry)
lcsh:Mathematics
Applied Mathematics
Function (mathematics)
Type (model theory)
lcsh:QA1-939
Homogeneous kernel
Equivalent form
Hurwitz zeta function
Weight function
Hardy-type integral inequality
Kernel (statistics)
Operator
Discrete Mathematics and Combinatorics
Hurwitz-zeta function
Constant (mathematics)
Analysis
Mathematics
Subjects
Details
- ISSN :
- 1029242X
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....31c264385fbdcf7050ff080be97d5bc3