Department of Mathematics, Guangdong University of Education, Guangzhou,
Guangdong 510 303
,CN
Lokenath Debnath
Department of Mathematics, University of Texas-Pan American 1201 W. University Drive, Edinburg, TX 78539
,US
Keywords:
Hilbert-Type Inequality, Weight Function, Equivalent Form, Foundation Item.
Abstract
By using the way of weight functions and Hadamard's inequality, a half-discrete Hilbert-type inequality with a logarithmic kernel and a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the operator expressions are also considered.