Open AccessA New Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Degree Form and the Integral in Whole Plane
Author(s) -
Zi Tian Xie,
K. Raja Rama Gandhi,
Zheng Zeng
Publication year - 2013
Publication title -
bulletin of mathematical sciences and applications
Language(s) - English
Resource type - Journals
ISSN - 2278-9634
DOI - 10.18052/www.scipress.com/bmsa.3.71
Subject(s) - mathematics , homogeneous , kernel (algebra) , degree (music) , inequality , bessel's inequality , mathematical analysis , real analysis , cauchy–schwarz inequality , gronwall's inequality , constant (computer programming) , homogeneous function , pure mathematics , log sum inequality , rearrangement inequality , combinatorics , computer science , programming language , acoustics , physics
In this paper, we build a new Hilbert's inequality with the homogeneous kernel of real order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using ψ function.
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