Extreme problems of weight approximation on the real axis
The exact value was calculated and the polynomial for the best weighted polynomial approximation was found for the kernels of the form A + B x ( x 2 + λ 2 ) 2 , where A,B ∈ R and λ > 0, in the root-mean-square metric.
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024-02, Vol.279 (1), p.104-114 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The exact value was calculated and the polynomial for the best weighted polynomial approximation was found for the kernels of the form
A
+
B
x
(
x
2
+
λ
2
)
2
, where
A,B
∈
R
and λ
>
0, in the root-mean-square metric. |
|---|---|
| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-024-06991-8 |