A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables (Q1949840)
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scientific article; zbMATH DE number 6164327
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables |
scientific article; zbMATH DE number 6164327 |
Statements
A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables (English)
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17 May 2013
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Using the method of weight functions, a new half-discrete Hilbert-type inequality with a general non-homogeneous kernel and two interval variables is given. The obtained constant is sharp. The result generalizes a theorem by the author published in 2005, and refines Theorem 351 from the famous book of Hardy, Littlewood and Pólya.
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Hilbert-type inequality
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non-homogeneous kernel
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weight function
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equivalent form
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reverse
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