The Sharpness of Convergence Results for <i>q</I>-bernstein Polynomials in The Case <i>q</I> > 1
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:34:11Z | |
| dc.date.available | 2024-07-05T14:34:11Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | Due to the fact that in the case q > 1 the q-Bernstein polynomials are no longer positive linear operators on C[0, 1], the study of their convergence properties turns out to be essentially more difficult than that for q 1. In this paper, new saturation theorems related to the convergence of q-Bernstein polynomials in the case q > 1 are proved. | en_US |
| dc.identifier.doi | 10.1007/s10587-008-0079-7 | |
| dc.identifier.issn | 0011-4642 | |
| dc.identifier.issn | 1572-9141 | |
| dc.identifier.scopus | 2-s2.0-58049148064 | |
| dc.identifier.uri | https://doi.org/10.1007/s10587-008-0079-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1030 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Czechoslovak Mathematical Journal | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | q-integers | en_US |
| dc.subject | q-binomial coefficients | en_US |
| dc.subject | q-Bernstein polynomials | en_US |
| dc.subject | uniform convergence | en_US |
| dc.subject | analytic function | en_US |
| dc.subject | Cauchy estimates | en_US |
| dc.title | The Sharpness of Convergence Results for <i>q</I>-bernstein Polynomials in The Case <i>q</I> > 1 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Ostrovska, Sofiya | |
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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 | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 1206 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1195 | en_US |
| gdc.description.volume | 58 | en_US |
| gdc.description.wosquality | Q4 | |
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