Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions

DOI10.1007/BF01908423zbMath0371.41005MaRDI QIDQ1243428

Publication date: 1977

Published in: Analysis Mathematica (Search for Journal in Brave)

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (16)

Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces ⋮ Error bound of spline interpolation in an integral metric ⋮ Inequalities for best spline approximation of periodic differentiable functions ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Studies on extremal problems of spline-approximation ⋮ Development of studies on the exact solution of extremal problems of the theory of best approximation ⋮ Average dimension and \(\nu\)-widths of classes of functions on the whole line ⋮ Studies on extremal problems of spline-approximation ⋮ Orderwise optimal methods of approximate solution of Fredholm integral equations ⋮ On strengthening inequalities of Jackson type ⋮ Inequalities of Kolmogorov type and estimates of spline interpolation on periodic classes \(W^ m_ 2\) ⋮ Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts ⋮ Precise constants in inequalities of Jackson type ⋮ Approximations by local splines of minimal defect ⋮ A problem concerning the optimization of methods for approximate solution of Fredholm equations ⋮ Approximations of differentiable functions of several variables

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