Modified double Szász-Mirakjan operators preserving x2 + y2
| dc.contributor.author | Dirik, Fadime | |
| dc.contributor.author | Demirci, Kamil | |
| dc.date.accessioned | 2025-03-23T19:17:54Z | |
| dc.date.available | 2025-03-23T19:17:54Z | |
| dc.date.issued | 2010 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve fo (x, y) = 1 and f3 (x, y) = x2 + y2. We prove that this type of operators enables a better error estimation on the interval [0, ∞) × [0, ∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential properties for derivatives of these modified operators. Finally, we also study statistical convergence of the sequence of modified Szász-Mirakjan type operators. © 2010 Department of Mathematics, University of Osijek. | |
| dc.identifier.endpage | 188 | |
| dc.identifier.issn | 1331-0623 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-77953841431 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 177 | |
| dc.identifier.uri | https://hdl.handle.net/11486/4465 | |
| dc.identifier.volume | 15 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.relation.ispartof | Mathematical Communications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20250323 | |
| dc.subject | A-statistical convergence | |
| dc.subject | Modulus of continuity | |
| dc.subject | Szász-Mirakjan type operators | |
| dc.subject | The korovkin-type approximation theorem | |
| dc.title | Modified double Szász-Mirakjan operators preserving x2 + y2 | |
| dc.type | Article |
