Characterization of ε-nearest points in space with asymmetric seminorm
Abstract In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a…
best approximation
Best approximation in spaces with asymmetric norm
Abstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…
On the converses of the reduction principle in inner product spaces
Abstract Let \(H\) be an inner product space, \(X\) a complete subspace of \(H\), and \(Y\) a closed subspace of…
Best uniform approximation of semi-Lipschitz function by extension
Abstract In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined…
Best uniform approximation of a bounded function by extensions of semi-Lipschitz functions
Abstract In this note we consider the problem of best uniform approximation of a real valued bounded function \(f\) defined…
Best approximation and unique extension of Lipschitz functions
AbstractAuthorsCostică Mustăța Costică Mustăţa KeywordsPaper coordinatesC. Mustata, Best approximation and unique extension of Lipschitz functions, J. Approx. Theory 19 (1977), 222-230,…