Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces

DOI10.1007/BF01086437zbMath0436.41021MaRDI QIDQ1140816

N. P. Kornejchuk

Publication date: 1979

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

duality theoremsapproximation by finite dimensional subspacesessentially bounded, and p-integrable functionsspaces of continuous

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)

Related Items (3)

Massiveness of the sets of extremal functions in some problems in approximation theory ⋮ Studies on extremal problems of spline-approximation ⋮ Studies on extremal problems of spline-approximation

Cites Work

• Unnamed Item
• Exact error bound of approximation by interpolating splines in \(L\)-metric on the classes \(W^r_p(1\leq p<\infty)\) of periodic functions
• Some problems in the approximation of functions of two variables and n- widths of integral operators

This page was built for publication: Best approximation of classes of functions with bounded r-th derivative on a segment by finite-dimensional subspaces