Zeng Zheng, Raja Rama Gandhi, Zi Tian Xie, A New Hilbert-Type Inequality with the Homogeneous Kernel of Degree - 2 and with the Integral, BMSA Volume 7, Bulletin of Mathematical Sciences and Applications (Volume 7)
https://www.scipress.com/BMSA.7.9
Abstract:
    By using the weight functions and by means of Hadamard's inequality, we present a new Hilbert-type inequality with the integral in whole plane, a best constant factor and a homogeneous kernel of degree-2.
Keywords:
    Equivalent Form, Holder's Inequality, Single Parameter, Weight Function