On certain multidimensional nonlinear integrals
| dc.contributor.author | Güller, Özge Özalp | |
| dc.contributor.author | Uysal, Gümrah | |
| dc.contributor.department | Matematik | tr_TR |
| dc.contributor.faculty | Fen Fakültesi | tr_TR |
| dc.date.accessioned | 2021-11-29T13:00:40Z | |
| dc.date.available | 2021-11-29T13:00:40Z | |
| dc.date.issued | 2020-12-31 | |
| dc.description.abstract | The aim of the paper is to obtain generalized convergence results for nonlinear multidimensional integrals of the form: L_{η}(ω;x)=((ηⁿ)/(Ω_{n-1}))∫_{D}K(η|t-x|,ω(t))dt. We will prove pointwise convergence of the family L_{η}(ω;x) as η→∞ at a fixed point x∈D which represents any generalized Lebesgue point of function ω∈L₁(D), where D is an open bounded subset of Rⁿ. Moreover, we will consider the case D=Rⁿ. The aim of the paper is to obtain generalized convergence results for nonlinear multidimensional integrals of the form: L_{η}(ω;x)=((ηⁿ)/(Ω_{n-1}))∫_{D}K(η|t-x|,ω(t))dt. We will prove pointwise convergence of the family L_{η}(ω;x) as η→∞ at a fixed point x∈D which represents any generalized Lebesgue point of function ω∈L₁(D), where D is an open bounded subset of Rⁿ. Moreover, we will consider the case D=Rⁿ. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 1367 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 1356 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.762646 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/76428 | |
| dc.identifier.volume | 69 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.762646 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Taylor expansion | tr_TR |
| dc.subject | Generalized Lebesgue point | tr_TR |
| dc.subject | Pointwise convergence | tr_TR |
| dc.title | On certain multidimensional nonlinear integrals | tr_TR |
| dc.type | Article | tr_TR |