TITLE:
On Hilbert’s Integral Inequality and Its Applications
AUTHORS:
Waad T. Sulaiman
KEYWORDS:
Hilbert's Integral Inequality, Holder's Inequality, Weight Function
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.3,
March
24,
2011
ABSTRACT: The main result of this paper is presented as follows Let h is homogeneous and symmetric of degree and Then
where
provided the integrals on the RHS do exists. Some other special cases are also deduced