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…
(original)
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…
On approximation properties of Balázs-Szabados operators their Kantorovich extension
Abstract In this paper we deal with a sequence of positive linear operators \(\ R_{n}^{\left[ \beta \right] }\) approximating functions…
Stancu modified operators revisited
Abstract In this paper we construct a general positive approximation process representing an integral form in Kantorovich sense of the…
On some new operators of discrete type
Abstract In this paper we are dealing with a general class of linear and positive operators of discrete type. We…
On the rate of convergence for semigroups and processes of Feller type
Abstract Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~\(C_{0}\)-semigroup. Simultaneously a…