A More Accurate Half–discrete Hilbert–type Inequality with a General Non–homogeneous Kernel and Operator Expressions
نویسندگان
چکیده
In this paper, by the use of the methods of weight functions and technique of real analysis, a more accurate half-discrete Hilbert-type inequality with a general non-homogeneous kernel and a best possible constant factor is given. The equivalent forms and some reverses are obtained. We also consider the operator expressions with the norm and some particular examples.
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* 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...
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