Linear and positive approximation operators

On the construction of approximating linear positive operators by probabilistic methods

AbstractWe present a new probabilistic method for constructing a sequence of linear positive operators used in uniform approximation of the…

Linear operators generated by a probability density function

Abstract In this paper we deal with linear positive operators of both discrete and integral type. For the former we…

An asymptotic formula for a class of approximation processes of King’s type

Abstract In this paper we present a general class of linear positive operators of discrete type reproducing the third test…

On a q-analogue of Stancu operators

Abstract This paper is concerned with a generalization in q-calculus of Stancu operators. Involving modulus of continuity and Lipschitz type…

Asymptotic formulae for Baskakov-Mastroianni operators based on q-integers

Abstract We establish an asymptotic formula for a general sequence of positive linear operators of discrete type. This class represents…

Discrete Approximation Processes of King’s Type

Abstract This survey paper is focused on linear positive operators having the degree of exactness null and fixing the monomial…

Weighted Approximation by Szasz-King type Operators

Abstract By using $$q$$-calculus, in the present paper we construct Szasz type operators in King sense, this meaning the operators…

On statistical approximation in spaces of continuous functions

Abstract Our goal is to present approximation theorems for sequences of positive linear operators defined on $$C(X)$$, where $$X$$ is…

On the iterates of a class of summation-type linear positive operators

AbstractThis note is focused upon positive linear operators which preserve the quadratic test function. By using contraction principle, we study…

On approximating operators preserving certain polynomials

Abstract The paper centers around a general class of discrete linear positive operators depending on a real parameter \(\alpha \geq…