dc.contributor.author | Acar, Tuncer | |
dc.date.accessioned | 2020-06-25T18:16:03Z | |
dc.date.available | 2020-06-25T18:16:03Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | closedAccess | en_US |
dc.identifier.issn | 1072-947X | |
dc.identifier.issn | 1572-9176 | |
dc.identifier.uri | https://doi.org/10.1515/gmj-2016-0007 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12587/6399 | |
dc.description | Acar, Tuncer/0000-0003-0982-9459 | en_US |
dc.description | WOS: 000387133200001 | en_US |
dc.description.abstract | In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity. We obtain the quantitative q-Voronovskaya-type theorem and the q-Gruss-Voronovskaya-type theorem in terms of the weighted modulus of continuity of q-derivatives of the approximated function. In this way, we either obtain the rate of pointwise convergence of q-Szasz operators or we present these results for a subspace of continuous functions, although the classical ones are valid for differentiable functions. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Walter De Gruyter Gmbh | en_US |
dc.relation.isversionof | 10.1515/gmj-2016-0007 | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | q-Szasz operators | en_US |
dc.subject | Voronovskaya-type theorem | en_US |
dc.subject | weighted modulus of continuity | en_US |
dc.subject | q-Gruss-Voronovskaya-type theorem | en_US |
dc.title | Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators | en_US |
dc.type | article | en_US |
dc.contributor.department | Kırıkkale Üniversitesi | en_US |
dc.identifier.volume | 23 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 459 | en_US |
dc.identifier.endpage | 468 | en_US |
dc.relation.journal | Georgian Mathematical Journal | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |