Some results concerning the integrals of regular functions along curves of certain types. (Q1440957)
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scientific article; zbMATH DE number 2576659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results concerning the integrals of regular functions along curves of certain types. |
scientific article; zbMATH DE number 2576659 |
Statements
Some results concerning the integrals of regular functions along curves of certain types. (English)
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1928
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``Ist \(\lambda>0\), \(f(z)\) regulär in und auf einem Kreise \(\Gamma\), ist \(C\) eine konvexe Kurve innerhalb \(\Gamma\), so gilt \[ \int_C | f(z)|^\lambda | dz| \leqq 2 \int_\Gamma | f(z)|^\lambda | dz|. '' \] Der Satz wird zunächst für Polygone bewiesen. Der Faktor 2 ist nicht zu verbessern.
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