On the Improvement of Analytic Properties Under the Limit Q-Bernstein Operator
| dc.contributor.author | Ostrovska, S | |
| dc.date.accessioned | 2024-07-05T15:09:25Z | |
| dc.date.available | 2024-07-05T15:09:25Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | Let B-n(f, q; x), n = 1, 2,... be the q-Bernstein polynomials of a function f is an element of C[0, 1]. In the case 0 < q < 1, a sequence {B-n(f, q; x)} generates a positive linear operator B-infinity = B-infinity,B-q on C[0, 1], which is called the limit q-Bernstein operator In this paper, a connection between the smoothness of a function f and the analytic properties of its image under Boo is studied. (c) 2005 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.jat.2005.09.015 | |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.issn | 1096-0430 | |
| dc.identifier.scopus | 2-s2.0-31144465102 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jat.2005.09.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1170 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Approximation Theory | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | q-Bemstein polynomials | en_US |
| dc.subject | q-binomial coefficients | en_US |
| dc.subject | limit q-Bernstein operator | en_US |
| dc.subject | positive operator | en_US |
| dc.subject | analytic continuation | en_US |
| dc.subject | entire function | en_US |
| dc.subject | growth estimates | en_US |
| dc.subject | modulus of continuity | en_US |
| dc.title | On the Improvement of Analytic Properties Under the Limit Q-Bernstein Operator | 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 | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 53 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 37 | en_US |
| gdc.description.volume | 138 | en_US |
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| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Positive operator | |
| gdc.oaire.keywords | Growth estimates | |
| gdc.oaire.keywords | Analytic continuation | |
| gdc.oaire.keywords | q-Bernstein polynomials | |
| gdc.oaire.keywords | Entire function | |
| gdc.oaire.keywords | Modulus of continuity | |
| gdc.oaire.keywords | q-Binomial coefficients | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Limit q-Bernstein operator | |
| gdc.oaire.keywords | Approximation by positive operators | |
| gdc.oaire.keywords | Approximation by polynomials | |
| gdc.oaire.keywords | Entire functions of one complex variable (general theory) | |
| gdc.oaire.keywords | q-Bernstein operator | |
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