On approximation of functions by positive linear operators1 year agoAbstract 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 functions1 year agoAbstract 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 operators1 year agoAbstract 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 generalizations1 year agoAbstract 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 operators1 year agoAbstract 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 principle1 year agoAbstract 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 extension1 year agoAbstract In this paper we deal with a sequence of positive linear operators \(\ R_{n}^{\left[ \beta \right] }\) approximating functions…
Stancu modified operators revisited1 year agoAbstract 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 type1 year agoAbstract 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 type1 year agoAbstract Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~\(C_{0}\)-semigroup. Simultaneously a…