Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
type: Item
instance of: scholarly article
title: Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
zbMATH Open document ID: 1193.41004
published in: Applied Mathematics and Computation
publication date: 2010-05-11T00:00:00Z
review text: The authors introduce new Bernstein-Stancu type polynomials of one and two variables. The uniform convergence and the degree of convergence of these polynomials are studied. Are also given the numerical examples corresponding to the obtained approximaton results.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 5707069
zbMATH Keywords: Bernstein-Stancu type polynomials
zbMATH Keywords: modulus of continuity
zbMATH Keywords: uniform approximation
zbMATH Keywords: rate of convergence
zbMATH Keywords: positive linear operators
zbMATH Keywords: Korovkin's theorem
author: Akif D. Gadjiev
author: Arash M. Ghorbanalizadeh
MaRDI profile type: Publication
full work available at URL: j.amc.2010.01.099
OpenAlex ID: W2026540865
cites work: Korovkin-type approximation theory and its applications
cites work: The approximation properties of generalized Bernstein polynomials of two variables
cites work: A Method for Obtaining Polynomials of Bernstein type of two Variables
cites work: Q5552825
cites work: Q3272104
cites work: Q3254589
cites work: Application of Bernstein polynomials for smooth estimation of a distribution and density function
cites work: Q4267812
DOI: 10.1016/J.AMC.2010.01.099
description: scientific article; zbMATH DE number 5707069