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…
Linear and positive approximation operators
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…
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…
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…
On a class of linear approximating operators
Abstract In this paper we introduce a new class of linear approximating operators \left( L_{nr}\right) _{n\geq1},r=0,1,2,…, for the functions \(f\in…
On simultaneous approximation by Stancu-Bernstein operators
Abstract AuthorsOctavian Agratini Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania KeywordsLinear positive operators; modulus of continuity; degree of approximation Paper…
A class of Bleimann, Butzer and Hahn type operators
Abstract In this paper we introduce a Bleimann, Butzer and Hahn type operator L_{n}^{a} where a is a real and…
Approximation properties of a class of operators of Stancu-Kantorovich type
Abstract In this paper we consider an extension, in the sense of Kantorovich, of a linear positive operator of Bernstein…
Asymptotic properties of Kantorovich-type Szász–Mirakjan operators of higher order
Abstract In this paper we study local approximation properties of a higher order Kantorovich-type Szász–Mirakjan operator recently introduced by Sabancigil,…
Iterates of multidimensional approximation operators via Perov theorem
AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…