1Universidad Nacional de Colombia, Bogotá, Colombia. Email: recastillo@unal.edu.co
2Universidad de Oriente, Cumaná, Venezuela. Email: eddycharles2007@hotmail.com
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.
Key words: Hardy-Hilbert's inequality, Best constant, Hölder's inequality, Minkowski's integral inequality.
En este artículo se hace una generalización de la conocida desigualdad de Hilbert y su forma equivalente en el caso de dos dimensiones. Otros resultados de este tipo de años recientes, se siguen como un caso especial de los resultados aquí presentados.
Palabras clave: Desigualdad de Hardy-Hilbert, mejor constante, desigualdad de Hölder, desigualdad integral de Minkowski.
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References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv44n2a04,
AUTHOR = {Erlin Castillo, René and Trousselot, Eduard}, ]]>
TITLE = {{Generalization of Hilbert's Integral Inequality}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2010},
volume = {44},
number = {2},
pages = {113-118}
}