Title of article :
ON A HILBERT-TYPE INTEGRAL INEQUALITY IN THE WHOLE PLANE
Author/Authors :
Rassias, Michael Th. Department of Mathematics and Engineering Sciences - Hellenic Military Academy - 16673 Vari Attikis, Greece & Institute for Advanced Study - Program in Interdisciplinary Studies - 1 Einstein Dr - Princeton - NJ 08540, USA , Yang, Bicheng Department of Mathematics - Guangdong University of Education - Guangzhou - Guangdong, P. R. China , Meletiou, Gerasimos C. University of Ioannina - Ioannina, Greece
Abstract :
Using weight functions and techniques of real analysis, a new Hilbert-type integral inequality
in the whole plane with nonhomogeneous kernel and a best possible constant factor is proved.
Equivalent forms, several particular inequalities and operator expressions are considered.
Keywords :
operator , equivalent form , parameter , weight function , Hilbert-type integral inequality
Journal title :
journal of the iranian mathematical society
