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…
Approximation Theory
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…
Extension and approximation of semi-Lipschitz functions
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
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
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
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
Abstract Let \((X,d)\) be a quasi-metric space, \(y_{0}\in X\) a fixed element and \(Y\) a subset of \(X\) such that…
Sandwich theorems for radiant functions
Abstract We show that between two graphs, one of a radiant function and the other of a coradiant, both defined…
On q-Baskakov-Mastroianni operators
Abstract The aim of the paper is to investigate a qanalogue of a general class of linear positive operators defined…
A-statistical convergence of a class of integral operators
Abstract Starting from a general sequence of linear and positive operators of summation integral type, we associate its r-th order…