A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension

نویسندگان

  • Bicheng Yang
  • Qiang Chen
چکیده

* Correspondence: bcyang@gdei. edu.cn Department of Mathematics, Guangdong University of Education Guangzhou, Guangdong 510303, P. R. China Full list of author information is available at the end of the article Abstract Using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is given. The equivalent forms, the operator expressions, the reverses and some particular cases are considered. 2000 Mathematics Subject Classification: 26D15; 47A07.

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تاریخ انتشار 2012