Construction of the optimal cubature formula in the space H˜pμ (Tn)
The modern statement of the problem of optimization of approximate integration formulas consists in minimizing the norm of the error functional formula on chosen normed spaces. This paper is devoted to cubature formulas over space H˜pμ (Tn). It was proved that the cubature formula of rectangles (4)...
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| Veröffentlicht in: | AIP conference proceedings 2024-03, Vol.3004 (1) |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The modern statement of the problem of optimization of approximate integration formulas consists in minimizing the norm of the error functional formula on chosen normed spaces. This paper is devoted to cubature formulas over space H˜pμ (Tn). It was proved that the cubature formula of rectangles (4) is optimal among cubature formulas of the form (6) and exact at constants over space H˜pμ (Tn). |
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| ISSN: | 0094-243X 1551-7616 |
| DOI: | 10.1063/5.0199850 |