The truncated \(q\)-Bernstein polynomials in the case \(q > 1\) (Q1722122)
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scientific article; zbMATH DE number 7021759
| Language | Label | Description | Also known as |
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| English | The truncated \(q\)-Bernstein polynomials in the case \(q > 1\) |
scientific article; zbMATH DE number 7021759 |
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The truncated \(q\)-Bernstein polynomials in the case \(q > 1\) (English)
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14 February 2019
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Summary: The truncated \(q\)-Bernstein polynomials \(B_{n, m, q} \left(f; x\right)\), \(n \in \mathbb N\), and \(m \in \mathbb N_0\) emerge naturally when the \(q\)-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered. In this paper, the convergence of the truncated \(q\)-polynomials on \(\left[0, 1\right]\) is studied. To support the theoretical results, some numerical examples are provided.
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