Monotone extremal functions and the weighted Hilbert's inequality (Q6203853)
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scientific article; zbMATH DE number 7828353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone extremal functions and the weighted Hilbert's inequality |
scientific article; zbMATH DE number 7828353 |
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Monotone extremal functions and the weighted Hilbert's inequality (English)
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8 April 2024
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Summary: In this note we find optimal one-sided majorants of exponential type for the signum function subject to certain monotonicity conditions. As an application, we use these special functions to obtain a simple Fourier analysis proof of the (non-sharp) weighted Hilbert-Montgomery-Vaughan inequality.
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extremal functions
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exponential type
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monotonicity
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weighted Hilbert's inequality
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