On a Half-Discrete Hilbert-Type Inequality with a Logarithmic Kernel

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Authors

  • Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510 303 ,CN
  • 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.