Generalization of hilbert's integral inequality

In this paper we make some further generalization of well known Hilbert's inequality and its equivalent form in two dimensional case. Many other results of this type in recent years follows as a special case of our results.

Autores:
Castillo, René Erlin
Trousselot, Eduard
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39777
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39777
http://bdigital.unal.edu.co/29874/
Palabra clave:
Hardy-Hilbert's inequality
Best constant
Hölder's inequality
Minkowski's integral inequality
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this paper we make some further generalization of well known Hilbert's inequality and its equivalent form in two dimensional case. Many other results of this type in recent years follows as a special case of our results.