The Truncated q‐Bernstein Polynomials in the Case q > 1

Mehmet Turan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The truncated q‐Bernstein polynomials Bn,m,q(f; x), n ∈ ℕ, and m ∈ ℕ0 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 [0, 1] is studied. To support the theoretical results, some numerical examples are provided.

Date: 2014
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https://doi.org/10.1155/2014/126319

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:126319

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