Title of article
Convergence of Generalized Bernstein Polynomials Original Research Article
Author/Authors
Alexander Ilʹinskii، نويسنده , , Sofiya Ostrovska، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
13
From page
100
To page
112
Abstract
Let f∈C[0, 1], q∈(0, 1), and Bn(f, q; x) be generalized Bernstein polynomials based on the q-integers. These polynomials were introduced by G. M. Phillips in 1997. We study convergence properties of the sequence {Bn(f, q; x)}∞n=1. It is shown that in general these properties are essentially different from those in the classical case q=1.
Keywords
generalized Bernstein polynomials , q-binomial coefficients , convergence , q-integers
Journal title
Journal of Approximation Theory
Serial Year
2002
Journal title
Journal of Approximation Theory
Record number
852025
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