Restricted Range Approximation of k-Convex Functions in Monotone Norms

DOI10.1137/0715067zbMath0391.41017OpenAlexW1998679179MaRDI QIDQ4172425

E. Kimchi, N. Richter-Dyn

Publication date: 1978

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0715067

zbMATH Keywords

Best ApproximantsK-Concave FunctionsK-Convex FunctionsRestricted Range Approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29) Approximation by other special function classes (41A30)

Related Items (10)

Some aspects of best n-convex approximations ⋮ Convergence properties of sequences of functions with application to restricted derivative approximation ⋮ Characterization of generalized convex functions by their best approximation in sign-monotone norms ⋮ A necessary condition for best approximation in monotone and sign- monotone norms ⋮ Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximations and n- widths of integral operators ⋮ Variations on the Chebyshev and \(L^ q\) theories of best approximation ⋮ Bernstein's comparison theorem and a problem of Braess ⋮ Least-squares approximation with restricted range ⋮ A relation between Peano kernels and a theorem of Bernstein ⋮ Generalized monosplines and optimal approximation

This page was built for publication: Restricted Range Approximation of k-Convex Functions in Monotone Norms