Approximations by entire functions on countable unions of segments of the real axis (Q1708018)
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scientific article; zbMATH DE number 6855781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximations by entire functions on countable unions of segments of the real axis |
scientific article; zbMATH DE number 6855781 |
Statements
Approximations by entire functions on countable unions of segments of the real axis (English)
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4 April 2018
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The authors formulate a theorem on the possibility of a prescribed-rate approximation of functions from Hölder classes on countable unions of segments by entire functions. This theorem is proved in [the authors, Vestn. St. Petersbg. Univ., Math. 50, No. 1, 35--43 (2017; Zbl 1382.41007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 53--63 (2017)].
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Hölder classes
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entire functions of exponential type
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approximation on subsets of the real axis
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0.9753388
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0.9703108
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0.94567525
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0.9379114
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0.9259287
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0.91255677
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