Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.13091/4999
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Acar, Tuncer | - |
dc.contributor.author | Bodur, Murat | - |
dc.contributor.author | Isikli, Esma | - |
dc.date.accessioned | 2024-01-23T09:29:40Z | - |
dc.date.available | 2024-01-23T09:29:40Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0163-0563 | - |
dc.identifier.issn | 1532-2467 | - |
dc.identifier.uri | https://doi.org/10.1080/01630563.2023.2297439 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.13091/4999 | - |
dc.description.abstract | his paper is devoted to an extension of the bivariate generalized Bernstein-Chlodovsky operators preserving the exponential function exp (2,2) where exp (alpha,beta)=e(-alpha x-beta y),alpha,beta is an element of R-0(+) and x,y >= 0. For these operators, we first examine the weighted approximation properties for continuous functions in the weighted space, and in the latter case, we also obtain the convergence rate for these operators using a weighted modulus of continuity. Then, we investigate the order of approximation regarding local approximation results via Peetre's K-functional. We introduce the GBS (Generalized Boolean Sum) operators of generalized Bernstein-Chlodovsky operators, and we estimate the degree of approximation in terms of the Lipschitz class of B & ouml;gel continuous functions and the mixed modulus of smoothness. Finally, we provide some numerical and graphical examples with different values to demonstrate the rate of convergence of the constructed operators. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis Inc | en_US |
dc.relation.ispartof | Numerical Functional Analysis and Optimization | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Bernstein-Chlodovsky operators | en_US |
dc.subject | exponential functions | en_US |
dc.subject | GBS operators | en_US |
dc.subject | mixed modulus of smoothness | en_US |
dc.subject | Peetre's K-functional | en_US |
dc.subject | weighted modulus of continuity | en_US |
dc.subject | Weighted Approximation | en_US |
dc.subject | Theorem | en_US |
dc.title | Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties | en_US |
dc.type | Article | en_US |
dc.type | Article; Early Access | en_US |
dc.identifier.doi | 10.1080/01630563.2023.2297439 | - |
dc.identifier.scopus | 2-s2.0-85181199600 | en_US |
dc.department | KTÜN | en_US |
dc.authorid | acar, Tuncer/0000-0003-0982-9459 | - |
dc.authorwosid | acar, Tuncer/I-6125-2013 | - |
dc.identifier.wos | WOS:001134490700001 | en_US |
dc.institutionauthor | … | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 55626313800 | - |
dc.authorscopusid | 57205145132 | - |
dc.authorscopusid | 58790636400 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.openairetype | Article; Early Access | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections |
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