On pointwise convergence of a family of nonlinear integral operators
| dc.contributor.author | Uysal, G. | |
| dc.contributor.author | Dutta, H. | |
| dc.date.accessioned | 2024-09-29T16:21:14Z | |
| dc.date.available | 2024-09-29T16:21:14Z | |
| dc.date.issued | 2019 | |
| dc.department | Karabük Üniversitesi | en_US |
| dc.description | International Conference on Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2018 -- 6 July 2018 through 8 July 2018 -- Jaipur -- 231359 | en_US |
| dc.description.abstract | Let ? be a non-empty index set consisting of ? indices and ?0 is allowed to be either accumulation point of ? or infinity. We assume that the function K?, K?: R× R? R, has finite Lebesgue integral value on R for all values of its second variable and for any ? (Formula Presented) ? and satisfies some conditions. The main purpose of this work is to investigate the conditions under which Fatou type pointwise convergence is obtained for the operators in the following setting: (Formula Presented), where Pk,? and ?k, ? are real numbers satisfying certain conditions, at p- ? -Lebesgue point of function f. The obtained results are used for presenting some theorems for the rate of convergences. © Springer Nature Singapore Pte Ltd 2019. | en_US |
| dc.identifier.doi | 10.1007/978-981-13-9608-3_4 | |
| dc.identifier.endpage | 83 | en_US |
| dc.identifier.isbn | 978-981139607-6 | |
| dc.identifier.issn | 2194-1009 | |
| dc.identifier.scopus | 2-s2.0-85072865934 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.startpage | 69 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/978-981-13-9608-3_4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14619/9638 | |
| dc.identifier.volume | 272 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer New York LLC | en_US |
| dc.relation.ispartof | Springer Proceedings in Mathematics and Statistics | en_US |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Lipschitz condition | en_US |
| dc.subject | Nonlinear integral operator | en_US |
| dc.subject | p- ? -Lebesgue point | en_US |
| dc.subject | Rate of convergence | en_US |
| dc.subject | Unified approach | en_US |
| dc.title | On pointwise convergence of a family of nonlinear integral operators | en_US |
| dc.type | Conference Object | en_US |
