# Approximation Theory

## Approximation operators constructed by means of Sheffer sequences

Abstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…

## On an approximation operator and its Lipschitz constant

AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…

## Compound operators constructed with binomial and Sheffer sequences

AbstractIn this note we consider a general compound approximation operator using binomial sequences and we give a representation for its…

## On compound operators depending on s parameters

AbstractIn this note we introduce a compound operator depending on s parameters using binomial sequences. We compute the values of…

## On approximation by some Bernstein–Kantorovich exponential-type polynomials

AbstractSince the introduction of Bernstein operators, many authors defined and/or studied Bernstein type operators and their generalizations, among them are…

## The iterates of positive linear operators with the set of constant functions as the fixed point set

AbstractLet Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach…

## Notes on the convex functions of higher order (IX)

Abstract This is the paper where the cardinal splines are conceived for the first time for approximating. AuthorsTiberiu Popoviciu (Institutul…

## On a compound approximation operator of D.D. Stancu type

AbstractIn this note we consider a linear and positive compound approximation operator of D.D. Stancu type depending of several parameters.…

## Rate of approximation for certain Durrmeyer operators

AbstractIn the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and…