ON APPROXIMATION FOR FUNCTIONS OF TWO VARIABLES ON A TRIANGULAR DOMAIN

ON APPROXIMATION FOR FUNCTIONS OF TWO VARIABLES ON A TRIANGULAR DOMAIN

The problem of approximation of continuous functions of two variables by Bernstein-Chlodowsky polynomials on a triangular domain is studied. Moreover, the problem of weighted approximations of continuous functions of two variables by a sequences of linear positive operators is discussed.

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Veröffentlicht in:The Rocky Mountain journal of mathematics 2005-01, Vol.35 (5), p.1523-1531
1. Verfasser: IBIKLI, ERTAN
Format: Artikel
Sprache:eng
Schlagworte:
41A25
41A35
41A36
Approximation
Bernstein polynomials
Bernstein-Chlodowsky polynomials
Continuous functions
Korovkin's type theorem
Mathematical functions
Mathematical sequences
Mathematical theorems
Mathematical variables
Polynomials
positive linear operators
triangular domain
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Beschreibung
Zusammenfassung:The problem of approximation of continuous functions of two variables by Bernstein-Chlodowsky polynomials on a triangular domain is studied. Moreover, the problem of weighted approximations of continuous functions of two variables by a sequences of linear positive operators is discussed.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181069649