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This category marks all the ICTP posts containing the pdf file of the paper/book.

Extension of bounded linear functionals and best approximation in space with asymmetric norm

3 years ago

Abstract The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of…

Characterization of ε-nearest points in space with asymmetric seminorm

3 years ago

Abstract In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a…

On the extension of semi-Lipschitz functions on asymmetric normed spaces

3 years ago

Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…

Best approximation in spaces with asymmetric norm

3 years ago

Abstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…

Best uniform approximation of semi-Lipschitz function by extension

3 years ago

Abstract In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined…

Extension and approximation of semi-Lipschitz functions

3 years ago

Abstract AuthorsCostică Mustăţa Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesC. Mustăţa, Extension and approximation of…

Best uniform approximation of a bounded function by extensions of semi-Lipschitz functions

3 years ago

Abstract In this note we consider the problem of best uniform approximation of a real valued bounded function \(f\) defined…

On a theorem of Baire about lower semi-continuous functions

3 years ago

Abstract A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by…

Extensions of semi-Hölder real valued functions on a quasi-metric space

3 years ago

Abstract In this note, the semi-Holder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem…

On the existence and uniqueness of extensions of semi-Holder real-valued functions

3 years ago

Abstract Let \((X,d)\) be a quasi-metric space, \(y_{0}\in X\) a fixed element and \(Y\) a subset of \(X\) such that…

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