Theoretical Mathematics & Applications

A Hilbert-type Inequality with a non-homogeneous and the Integral in Whole Plane

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  • Abstract

    By the way of weight function, this paper gives a new Hilberttype inequality with the integral in whole plane and with some parameters, which is an extension of Hilbert-type inequality with a nonhomogeneous, and gives its equivalent form. Also in the paper, by the way of Complex Analysis, the best constant factor is calculated.