The approximation properties of generalized Bernstein polynomials of two variables


Buyukyazici I., Ibikli E.

APPLIED MATHEMATICS AND COMPUTATION, vol.156, no.2, pp.367-380, 2004 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 156 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.amc.2003.07.023
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.367-380
  • Keywords: modulus of continuity, Bernstein polynomials, uniformly convergence, positive linear operators, rate of convergence

Abstract

The positive linear operators of Bernstein type of two variables are considered and the theorems about approximation and about the order of approximation of the sequence of these operators are established. (C) 2003 Elsevier Inc. All rights reserved.