Functions Whose Smoothness Is Not Improved Under the Limit <i>q</I>-bernstein Operator

dc.authorscopusid 35610828900
dc.authorwosid Ostrovska, Sofiya/AAA-2156-2020
dc.contributor.author Ostrovska, Sofiya
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:11:06Z
dc.date.available 2024-07-05T15:11:06Z
dc.date.issued 2012
dc.department Atılım University en_US
dc.department-temp Atilim Univ, Dept Math, Ankara, Turkey en_US
dc.description.abstract The limit q-Bernstein operator B-q emerges naturally as a modification of the Szasz-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with 0 < q < 1. Over the past years, the limit q-Bernstein operator has been studied widely from different perspectives. Its approximation, spectral, and functional-analytic properties, probabilistic interpretation, the behavior of iterates, and the impact on the analytic characteristics of functions have been examined. It has been proved that under a certain regularity condition, B-q improves the smoothness of a function which does not satisfy the Holder condition. The purpose of this paper is to exhibit 'exceptional' functions whose smoothness is not improved under the limit q-Bernstein operator. MSC: 26A15; 26A16; 41A36 en_US
dc.identifier.citationcount 1
dc.identifier.doi 10.1186/1029-242X-2012-297
dc.identifier.issn 1029-242X
dc.identifier.scopus 2-s2.0-84876592357
dc.identifier.uri https://doi.org/10.1186/1029-242X-2012-297
dc.identifier.uri https://hdl.handle.net/20.500.14411/1406
dc.identifier.wos WOS:000317846800006
dc.identifier.wosquality Q1
dc.institutionauthor Ostrovska, Sofiya
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 2
dc.subject limit q-Bernstein operator en_US
dc.subject Holder condition en_US
dc.subject modulus of continuity en_US
dc.title Functions Whose Smoothness Is Not Improved Under the Limit <i>q</I>-bernstein Operator en_US
dc.type Article en_US
dc.wos.citedbyCount 1
dspace.entity.type Publication
relation.isAuthorOfPublication af5756ab-54dd-454a-ac68-0babf2e35b43
relation.isAuthorOfPublication.latestForDiscovery af5756ab-54dd-454a-ac68-0babf2e35b43
relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

Files

Collections