Quasilinear Interpolation by Minimal Splines

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 281; no. 2; pp. 285 - 296
• Main Authors: Livshits, L. P., Makarov, A. A., Makarova, S. V.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.05.2024; Springer Nature B.V
• Subjects: Approximation; Interpolation; Mathematical analysis; Mathematics; Mathematics and Statistics; Spline functions

The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for normalized splines are obtained. The sharpness of biorthogonal approximation and the order of accuracy of quasilinear interpolation with respect to the g...