Construction of Optimal Interpolation Formulas in the Sobolev Space

Construction of Optimal Interpolation Formulas in the Sobolev Space

In the present paper, using the discrete analogue of the differential operator d 2 m dx 2 m , optimal interpolation formulas are constructed in the L 2 4 (0, 1) space. The explicit formulas for coefficients of optimal interpolation formulas are obtained.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-07, Vol.264 (6), p.782-793
Hauptverfasser: Shadimetov, Kh. M., Hayotov, A. R., Nuraliev, F. A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Interpolation
Mathematics
Mathematics and Statistics
Operators (mathematics)
Sobolev space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the present paper, using the discrete analogue of the differential operator d 2 m dx 2 m , optimal interpolation formulas are constructed in the L 2 4 (0, 1) space. The explicit formulas for coefficients of optimal interpolation formulas are obtained.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06035-z