Wed. Jul 8th, 2020


Science Press Release Distribution Services

Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

1 min read

By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained. The constant factor related the beta function is proved to be the best possible. As applications, the case of the homogeneous kernel, the operator expressions and a few corollaries are considered.

Author(s) Details

Bicheng Yang
Department of Mathematics, Guangdong University and of Education, Guangzhou, Guangdong 510303, P. R. China.

View Book :-

Leave a Reply

Your email address will not be published. Required fields are marked *