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.

Bibliographic Details
Authors: Castillo, René Erlin, Trousselot, Eduard
Format: article
Status:Published version
Publication Date:2010
Country:Colombia
Institution:Universidad Nacional de Colombia
Repository:Repositorio UN
Language:Spanish
OAI Identifier:oai:repositorio.unal.edu.co:unal/39777
Online Access:https://repositorio.unal.edu.co/handle/unal/39777
http://bdigital.unal.edu.co/29874/
Access Level:Open access
Keyword:Hardy-Hilbert's inequality
Best constant
Hölder's inequality
Minkowski's integral inequality
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.