Some convergence results for nonlinear singular integral operators
| dc.authorid | 0000-0002-3641-9052 | |
| dc.contributor.author | Karslı, Harun | |
| dc.date.accessioned | 2024-09-25T19:59:00Z | |
| dc.date.available | 2024-09-25T19:59:00Z | |
| dc.date.issued | 2013 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this paper, we establish some pointwise convergence results for a family of certain nonlinear singular integral operators T lambda f of the form (T lambda f) (x) =integral K-b(a)lambda(t - x, f(t))dt, x is an element of (a, b), acting on functions with bounded (Jordan) variation on an interval [a, b], as lambda -> lambda(o). Here, the kernels K = {K-lambda}(lambda is an element of Lambda) satisfy some suitable singularity assumptions. We remark that the present study is a continuation and extension of the study of pointwise approximation of the family of nonlinear singular integral operators (1) begun in [18]. | en_US |
| dc.identifier.endpage | 740 | en_US |
| dc.identifier.issn | 0420-1213 | |
| dc.identifier.issn | 2391-4661 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 729 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/13864 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000210133100007 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.institutionauthor | Karslı, Harun | |
| dc.institutionauthorid | 0000-0002-3641-9052 | |
| dc.language.iso | en | en_US |
| dc.publisher | De Gruyter Open Ltd | en_US |
| dc.relation.ispartof | Demonstratio Mathematica | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.snmz | YK_20240925 | en_US |
| dc.subject | Nonlinear Singular Integral | en_US |
| dc.subject | Bounded Variation | en_US |
| dc.subject | Lipschitz Condition | en_US |
| dc.subject | Pointwise Convergence | en_US |
| dc.subject | Integral Operators | |
| dc.title | Some convergence results for nonlinear singular integral operators | en_US |
| dc.type | Article | en_US |
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