Zi Tian Xie, K. Raja Rama Gandhi, Zeng Zheng, A New Hilbert-Type Integral Inequality with the Homogeneous Kernel of Real Degree Form and the Integral in Whole Plane, Volume 6, The Bulletin of Society for Mathematical Services and Standards (Volume 6)
https://www.scipress.com/BSMaSS.6.38
Abstract:
    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.
Keywords:
    Function, Hilbert-Type Integral Inequality, Holder's Inequality, Weight Function