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…
Binomial polynomials and their applications in Approximation Theory1 year agoAbstract In this paper we are concerned with the sequences of polynomials of binomial type. In particular we point out…
Korovkin type error estimates for Meyer-Konig and Zeller operators1 year agoAbstract In this paper we construct a linear and positive approximation process of discrete type which includes as a particular…
An approximation process of Kantorovich type1 year agoAbstract The paper is devoted to the study of an approximation process on an unbounded interval representing an integral form…
On a certain class of approximation operators1 year agoAbstract The paper is devoted to the study of an approximation process \(K_{n}^{H}\) representing an integral form in Kantorovich sense…