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…
Approximation Theory
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…
Bivariate positive operators in polynomial weighted spaces
Abstract This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to…
On a double complex sequence of linear operators
Abstract The main goal of the article is to introduce a class of double complex linear operators of integral type.…
Approximation of bivariate functions by truncated classes of operators
Abstract Starting from a general class of positive approximation processes of discrete type expressed by series, we indicate a way…