Open AccessA de Casteljau Algorithm for -Bernstein-Stancu Polynomials
Author(s) -
Grzegorz Nowak
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/609431
Subject(s) - generalization , mathematics , bernstein polynomial , function (biology) , algorithm , algebra over a field , pure mathematics , discrete mathematics , mathematical analysis , evolutionary biology , biology
This paper is concerned with a generalization of the -Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case and -Bernstein case
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