Approximation Theory

Extension and approximation of semi-Lipschitz functions on quasi-metric linear spaces

2 years ago

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

On the extremal semi-Lipschitz function

2 years ago

Abstract The extremal elements of the unit balls of Banach spaces play an important role in the study of the…

A Phelps type result for spaces with asymmetric norms

2 years ago

Abstract If \((X,||\cdot|)\) is a linear space with asymmetric norm and \(Y\) is a \(X\), for every \(f\in Y_{+}^{\ast}\) (the…

On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space

2 years ago

Abstract A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined…

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

2 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

2 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 characterization of generalized nearest point

2 years ago

Abstract AuthorsCostica Mustăţa “Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj-Napoca, Romania Keywords? Paper coordinatesC. Mustăţa, On the characterization of generalized…

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

2 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

2 years ago

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

2 years ago

Abstract Let \(H\) be an inner product space, \(X\) a complete subspace of \(H\), and \(Y\) a closed subspace of…

Approximation Theory

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