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…
Approximation Theory
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…
Binomial polynomials and their applications in Approximation Theory
Abstract 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 operators
Abstract In this paper we construct a linear and positive approximation process of discrete type which includes as a particular…
An approximation process of Kantorovich type
Abstract 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 operators
Abstract The paper is devoted to the study of an approximation process \(K_{n}^{H}\) representing an integral form in Kantorovich sense…
Properties concerning the Baskakov-Beta operators
Abstract Starting from a positive summation integral operator we present linear combinations of these operators which under definite conditions approximate…
Note on a class of operators on infinite interval
Abstract ? AuthorsOctavian Agratini Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania KeywordsGamma operator; Feller type operator; beta distribution; random variable;…
On a sequence of linear and positive operators
Abstract The purpose of this paper is to study a sequence of linear and positive operators which was proposed by…
Linear combinations of D.D. Stancu polynomials
Abstract By using Markov-Polya probabilistic shceme, in 1968 D.D. Stancu introduced and studied a new class of linear positive operators…