On convergence of certain nonlinear durrmeyer operators at lebesgue points
| dc.authorid | 0000-0002-3641-9052 | en_US |
| dc.contributor.author | Karslı, Harun | |
| dc.date.accessioned | 2021-06-23T19:42:03Z | |
| dc.date.available | 2021-06-23T19:42:03Z | |
| dc.date.issued | 2015 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | The aim of this paper is to study the behaviour of certain sequence of nonlinear Durrmeyer operators ND(n)f of the form (ND(n)f)(x) = integral K-1(0)n (x,t, f (t))dt, 0 <= x <= 1, n is an element of N, acting on bounded functions on an interval [0, 1], where K-n (x, t, u) satisfies some suitable assumptions. Here we estimate the rate of convergence at a point x, which is a Lebesgue point of f is an element of L-1 ([0,1]) be such that psi(o) vertical bar f vertical bar is an element of BV ([0, 1]), where psi(o) vertical bar f vertical bar denotes the composition of the functions psi and vertical bar f vertical bar. The function psi : R-0(+) -> R-0(+) is continuous and concave with psi(0) = 0, psi(u) > 0 for u > 0, which appears from the (L - psi) Lipschitz conditions. | en_US |
| dc.identifier.endpage | 711 | en_US |
| dc.identifier.issn | 1017-060X | |
| dc.identifier.issn | 1735-8515 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-84930975368 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 699 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/8314 | |
| dc.identifier.volume | 41 | en_US |
| dc.identifier.wos | WOS:000358506700013 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Karslı, Harun | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Singapore Pte Ltd | en_US |
| dc.relation.ispartof | Bulletin Of The Iranian Mathematical Society | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Nonlinear Durrmeyer Operators | en_US |
| dc.subject | Bounded Variation | en_US |
| dc.subject | Lipschitz Condition | en_US |
| dc.subject | Pointwise Convergence | en_US |
| dc.title | On convergence of certain nonlinear durrmeyer operators at lebesgue points | en_US |
| dc.type | Article | en_US |
