On the <i>q</I>-bernstein Polynomials of Piecewise Linear Functions in the Case <i>q</I> > 1
| dc.contributor.author | Kaskaloglu, Kerem | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.date.accessioned | 2024-07-05T14:28:52Z | |
| dc.date.available | 2024-07-05T14:28:52Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | The aim of this paper is to present new results related to the approximation of continuous functions by their q-Bernstein polynomials in the case q > 1. The first part of the paper is devoted to the behavior of the q-Bernstein polynomials of piecewise linear functions. This study naturally leads to the notion of truncated q-Bernstein polynomials introduced in the paper. The second part deals with the asymptotic estimates for the norms of the m-truncated q-Bernstein polynomials, in the case where both n and q vary. The results of the paper are illustrated by numerical examples. (C) 2012 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.mcm.2012.01.022 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.issn | 1872-9479 | |
| dc.identifier.scopus | 2-s2.0-84875679564 | |
| dc.identifier.uri | https://doi.org/10.1016/j.mcm.2012.01.022 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/444 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Mathematical and Computer Modelling | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | q-integers | en_US |
| dc.subject | q-binomial coefficients | en_US |
| dc.subject | q-Bernstein polynomials | en_US |
| dc.subject | q-Bernstein operator | en_US |
| dc.subject | Operator norm | en_US |
| dc.title | On the <i>q</I>-bernstein Polynomials of Piecewise Linear Functions in the Case <i>q</I> > 1 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Ostrovska, Sofiya/AAA-2156-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Kaskaloglu, Kerem; Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 2431 | en_US |
| gdc.description.issue | 9-10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 2419 | en_US |
| gdc.description.volume | 57 | en_US |
| gdc.identifier.openalex | W1974799138 | |
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| gdc.virtual.author | Ostrovska, Sofiya | |
| gdc.virtual.author | Kaşkaloğlu, Kerem | |
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