ON SINGULAR INTEGRAL OPERATORS INVOLVING POWER NONLINEARITY
| dc.authorid | Uysal, Gumrah/0000-0001-7747-1706 | |
| dc.contributor.author | Almali, Sevgi Esen | |
| dc.contributor.author | Uysal, Gumrah | |
| dc.contributor.author | Mishra, Vishnu Narayan | |
| dc.contributor.author | Guller, Ozge Ozalp | |
| dc.date.accessioned | 2024-09-29T16:04:53Z | |
| dc.date.available | 2024-09-29T16:04:53Z | |
| dc.date.issued | 2017 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description.abstract | In the current manuscript, we investigate the pointwise convergence of the singular integral operators involving power non linearity given in the following form: T-lambda(f;x) = integral(b)(a) Sigma(n)(m=1) f(m)(t)K-lambda,K-m(x,t)dt, lambda epsilon Lambda, x epsilon (a, b), where A is an index set consisting of the non-negative real numbers, and n >= 1 is a finite natural number, at mu-generalized Lebesgue points of integrable function f epsilon L-1 (a, b). Here, f(m) denotes m - th power of the function f and (a, b) stands for arbitrary bounded interval in or I itself. We also handled the indicated problem under the assumption f epsilon L-1 (N) | en_US |
| dc.identifier.doi | 10.11568/kjm.2017.25.4.483 | |
| dc.identifier.endpage | 494 | en_US |
| dc.identifier.issn | 1976-8605 | |
| dc.identifier.issn | 2288-1433 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 483 | en_US |
| dc.identifier.uri | https://doi.org/10.11568/kjm.2017.25.4.483 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/6384 | |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.wos | WOS:000419023400002 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Kangwon-Kyungki Mathematical Soc | en_US |
| dc.relation.ispartof | Korean Journal of Mathematics | 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 | Pointwise convergence | en_US |
| dc.subject | Nonlinear integral operators | en_US |
| dc.subject | mu-generalized Lebesgue point | en_US |
| dc.title | ON SINGULAR INTEGRAL OPERATORS INVOLVING POWER NONLINEARITY | en_US |
| dc.type | Article | en_US |
