Studies on extremal problems of spline-approximation

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Development of studies on the exact solution of extremal problems of the theory of best approximation, Development of studies on the exact solution of extremal problems of the theory of best approximation

Cites Work

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Estimates of the stability of some methods of approximation by local splines
Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials
On n-widths and interpolation by polynomial splines
Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces
Spline interpolation and best approximation by trigonometric polynomials
Local spline approximation methods
Optimal error bounds for cubic spline interpolation
On extremal subspaces and approximation of periodic functions by splines of minimal defect
Approximation by polygonal lines of curves given by parametric equations in the Hausdorff metric
Inequalities for upper bounds of functionals
Precise values of the best onesided approximations by splines
Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions
Approximation and optimal coding of smooth plane curves
On convergence and growth of partial sums of Fourier series
Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
A note on the operators arising in spline approximation
On error bounds for spline interpolation
The question of uniqueness for G.D. Birkhoff interpolation problems
Errors in cubic spline interpolation
Approximation by periodic spline interpolants on uniform meshes
Convergence of a class of interpolatory splines
A note on interpolating periodic quintic splines with equally spaced nodes
Approximation properties of the spline fit
Hermite Interpolation Errors for Derivatives
𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
On the Order of Convergence of Natural Cubic Spline Interpolation
Approximation of plane curves by parametric Hermitian splines