Construction of approximation functionals for minimal splines

DOI10.1007/s10958-022-05801-3zbMath1493.65029OpenAlexW4293230738MaRDI QIDQ2146539

E. K. Kulikov, Anton A. Makarov

Publication date: 16 June 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05801-3

zbMATH Keywords

functional approximationsspline constructions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (1)

A method for solving the Fredholm integral equation of the first kind

Cites Work

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• The best uniform quadratic approximation of circular arcs with high accuracy
• On polynomial approximation of circular arcs and helices
• On the solution of Fredholm integral equations based on spline quasi-interpolating projectors
• B-spline quasi-interpolation on sparse grids
• Quasi-interpolation in isogeometric analysis based on generalized B-splines
• Quasi-interpolants based on trigonometric splines
• Uniform approximation of a circle by a parametric polynomial curve
• Cubic spline approximation of a circle with maximal smoothness and accuracy
• Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines
• A meshfree quasi-interpolation method for solving Burgers' equation
• Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions
• Biorthogonal systems of functionals and decomposition matrices for minimal splines
• Quadratic minimal splines with multiple nodes
• Construction of splines of maximal smoothness
• On approximation by hyperbolic splines
• On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant
• On functionals dual to minimal splines
• Fifty years of Schoenberg's problem on the convergence of spline interpolation
• A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines
• A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation
• On Some Piecewise Quadratic Spline Functions
• A practical guide to splines.

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