On nonlinear bivariate [m1, m2]-singular integral operators
| dc.authorid | Uysal, Gumrah/0000-0001-7747-1706 | |
| dc.contributor.author | Uysal, Gumrah | |
| dc.date.accessioned | 2024-09-29T15:50:45Z | |
| dc.date.available | 2024-09-29T15:50:45Z | |
| dc.date.issued | 2019 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | In this paper, we give some pointwise convergence and Fatou type convergence theorems for a family of nonlinear bivariate [m(1), m(2)] - singular integral operators in the following form: T-omega([m1,) (m2]) (f; x,y) = integral integral(R2) kappa(omega) (t, s, Sigma(m1)(v1=1) Sigma(m2)(v2=1) (-1)((v1+v2)) (m(1) v(1)) (m(2) v(2)) f(x + v(1)t, y + v(2)s)) dsdt, where m(1), m(2) >= 1 are fixed natural numbers, (x, y) is an element of R-2 and omega is an element of Omega, Omega denotes a nonempty set of indices endowed with a topology. Here, {kappa(omega)}(omega is an element of Omega) denotes a family of kernel functions and f belongs to the space of Lebesgue integrable functions L (R-2). Some numerical examples and graphical illustrations supporting the results are also given. | en_US |
| dc.identifier.doi | 10.1002/mma.5425 | |
| dc.identifier.endpage | 5467 | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 16 | en_US |
| dc.identifier.scopus | 2-s2.0-85058147851 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 5455 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/mma.5425 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/3720 | |
| dc.identifier.volume | 42 | en_US |
| dc.identifier.wos | WOS:000503431300034 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | 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 | [m(1), m(2) | en_US |
| dc.subject | mu]-Lebesgue point | en_US |
| dc.subject | bivariate integral operators | en_US |
| dc.subject | Fatou type convergence | en_US |
| dc.subject | pointwise convergence | en_US |
| dc.title | On nonlinear bivariate [m1, m2]-singular integral operators | en_US |
| dc.type | Article | en_US |
