Calibration relations for Bφ-splines of fourth order

Calibration relations for Bφ-splines of fourth order

We study necessary and sufficient conditions for the smoothness of (not necessarily polynomial) splines of fourth order. We establish the uniqueness of a space of splines of maximal smoothness and prove embeddings on refined grids. We also obtain the corresponding calibration relations. Bibliography...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-11, Vol.178 (6), p.576-588
Hauptverfasser: Dem’yanovich, Yu. K., Miroshnichenko, I. D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We study necessary and sufficient conditions for the smoothness of (not necessarily polynomial) splines of fourth order. We establish the uniqueness of a space of splines of maximal smoothness and prove embeddings on refined grids. We also obtain the corresponding calibration relations. Bibliography: 12 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0571-8