On the Eigenstructure of the Modified Bernstein Operators
| dc.contributor.author | Yilmaz, Ovgu Gurel | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Turan, Mehmet | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:24:04Z | |
| dc.date.available | 2024-07-05T15:24:04Z | |
| dc.date.issued | 2022 | |
| dc.description | Ostrovska, Sofiya/0000-0003-1842-7953; Turan, Mehmet/0000-0002-1718-3902 | en_US |
| dc.description.abstract | Starting from the well-known work of Cooper and Waldron published in 2000, the eigenstructure of various Bernstein-type operators has been investigated by many researchers. In this work, the eigenvalues and eigenvectors of the modified Bernstein operators Q(n) have been studied. These operators were introduced by S. N. Bernstein himself, in 1932, for the purpose of accelerating the approximation rate for smooth functions. Here, the explicit formulae for the eigenvalues and corresponding eigenpolynomials together with their limiting behavior are established. The results show that although some outcomes are similar to those for the Bernstein operators, there are essentially different ones as well. | en_US |
| dc.identifier.doi | 10.1080/01630563.2022.2136695 | |
| dc.identifier.issn | 0163-0563 | |
| dc.identifier.issn | 1532-2467 | |
| dc.identifier.scopus | 2-s2.0-85141015158 | |
| dc.identifier.uri | https://doi.org/10.1080/01630563.2022.2136695 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2385 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis inc | en_US |
| dc.relation.ispartof | Numerical Functional Analysis and Optimization | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bernstein operators | en_US |
| dc.subject | eigenvalues | en_US |
| dc.subject | eigenvectors | en_US |
| dc.subject | modified Bernstein operators | en_US |
| dc.subject | Stirling numbers | en_US |
| dc.title | On the Eigenstructure of the Modified Bernstein Operators | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ostrovska, Sofiya/0000-0003-1842-7953 | |
| gdc.author.id | Turan, Mehmet/0000-0002-1718-3902 | |
| gdc.author.institutional | Turan, Mehmet | |
| gdc.author.institutional | Ostrovska, Sofiya | |
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| gdc.author.wosid | Turan, Mehmet/JYQ-4459-2024 | |
| gdc.author.wosid | Gurel Yilmaz, Ovgu/JTS-7151-2023 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Yilmaz, Ovgu Gurel] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkey; [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.endpage | 1835 | en_US |
| gdc.description.issue | 16 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1821 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.wosquality | Q3 | |
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