Optimal interpolation formulas exact for trigonometric functions

Optimal interpolation formulas exact for trigonometric functions

In the present paper we investigate the problem of construction of the optimal interpolation formulas in the space K2(P2). We find the norm of the error functional which gives the upper bound for the error of the interpolation formulas in the space K2(P2). Further, we get the system of linear equati...

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Hauptverfasser: Babaev, Samandar S., Davronov, Javlon R., Abdullaev, Abdulla, Polvonov, Sarvarbek Z.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Differential equations
Interpolation
Linear equations
Operators (mathematics)
Trigonometric functions
Upper bounds
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Beschreibung
Zusammenfassung:In the present paper we investigate the problem of construction of the optimal interpolation formulas in the space K2(P2). We find the norm of the error functional which gives the upper bound for the error of the interpolation formulas in the space K2(P2). Further, we get the system of linear equations for coefficients of the optimal interpolation formulas. Finally, using the discrete analogue of the differential operatord4dx4+2ω2d2dx2+ω4 and its properties we find explicit formulas for the coefficients of the optimal interpolation formulas.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0144754