On approximating operators preserving certain polynomials
Abstract The paper centers around a general class of discrete linear positive operators depending on a real parameter \(\alpha \geq…
(original)
On certain q-analogues of the Bernstein operators
Abstract In this note we study the limit of iterates of Lupas q-analogue of the Bernstein operators. Also, we introduce…
On a class of linear positive bivariate operators of King type
Abstract The concern of this note is to introduce a general class of linear positive operators of discrete type acting…
On the variation detracting property of a class of operators
Abstract This work is focused upon the study of a general class of linear positive operators of discrete type. We…
On approximation of functions by positive linear operators
Abstract The aim of the present paper is to point out basic results concerning the approximation of functions by using…
Linear operators that preserve some test functions
Abstract The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness…
On the convergence of a truncated class of operators
Abstract In this paper we are dealing with a general class of positive approximation processes of discrete type expressed in…
On some Bernstein type operators: iterates and generalizations
Abstract The present paper focuses on two approaches. Firstly, by using the contraction principle, we give a method for obtaining…
Iterates of some bivariate approximation process via weakly Picard operators
Abstract In the present paper we introduce a general class of positive operators of discrete type acting on the space…
Iterates of a class of discrete linear operators via contraction principle
Abstract In this paper we are concerned with a general class of positive linear operators of discrete type. Based on…