Open AccessA New Hilbert-type Inequality with the Integral in Whole Plane
Author(s) -
Xie Zi-tian,
Zheng Zeng
Publication year - 2012
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2012.52.3.291
Subject(s) - mathematics , inequality , type (biology) , plane (geometry) , bessel's inequality , mathematical analysis , pure mathematics , rearrangement inequality , linear inequality , geometry , ecology , biology
In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.
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