On some approximation properties of $q$-parametric Bernstein polynomials

In 1997 Phillips introduced generalized Bernstein polynomials ${{B}_{n}}(f,q;x)$ based on the $q$-integers and $q$-binomial coefficients for any $q>0$. For $q=1$, generalized Bernstein polynomials ${{B}_{n}}(f,q;x)$ coincide with the classical ones ${{B}_{n}}(f;x)$. For $q\ne 1$, one gets...

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Bibliographic Details
Date:2016
Main Authors: Naiko, D. A., Найко, Д. А.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/260
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine