Приказ основних података о дисертацији
Uopštena konvolucija
Generalized convolution
dc.contributor.advisor | Pap, Endre | |
dc.contributor.other | Hadžić, Olga | |
dc.contributor.other | Takači, Arpad | |
dc.contributor.other | Mesiar, Radko | |
dc.contributor.other | Pap, Endre | |
dc.creator | Štajner-Papuga, Ivana | |
dc.date.accessioned | 2020-08-28T15:14:40Z | |
dc.date.available | 2020-08-28T15:14:40Z | |
dc.date.issued | 2001-12-28 | |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159601881371827.pdf?controlNumber=(BISIS)5987&fileName=159601881371827.pdf&id=16329&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/record.jsf?recordId=5987&source=NaRDuS&language=sr | sr |
dc.identifier.uri | https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159601443271033.pdf?controlNumber=(BISIS)5987&fileName=159601443271033.pdf&id=16328&source=NaRDuS&language=sr | sr |
dc.identifier.uri | /DownloadFileServlet/IzvestajKomisije159601443271033.pdf?controlNumber=(BISIS)5987&fileName=159601443271033.pdf&id=16328 | |
dc.identifier.uri | https://nardus.mpn.gov.rs/handle/123456789/17372 | |
dc.description.abstract | U ovoj tezi je definisana uopštena konvolucija koja pripada domenu pseudo-analize i ima veliku primenu u mnogim matematičkim teorijama, npr. u proba-bilističkim metričkim prostorima, PDJ, teorijama odlučivanja, sistema, kontrole i fazi brojeva. Dokazane su bitne osobine ove operacije sa funkcijama. Dokazana je veza izmedju pseudo-konvolucija baziranih na poluprstenima različitih klasa Definisana je (5, C/)-konvolucija bazirana na uslovno distributivnom poluprstenu ([0,1], S, U)).Dat je još jedan vid uopštenja konvolucije baziran na uopštenim pseudo-operacijama. | sr |
dc.description.abstract | In this thesis the generalized convolution have been defined. This operation with functions has applications in different mathematical theo ries, for example in Probabilistic Metric Spaces, PDE, System and Control Theory, Fuzzy numbers. Some basic properties of this operation has been proved, as well as connection between generalized convolutions based on different classes of semirings. (5, U)-convolution has been defined, as well as convolution based on generalized pseudo-operations. | en |
dc.language | sr (latin script) | |
dc.publisher | Универзитет у Новом Саду, Природно-математички факултет | sr |
dc.rights | openAccess | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0/ | |
dc.source | Универзитет у Новом Саду | sr |
dc.subject | poluprsten | sr |
dc.subject | semiring | en |
dc.subject | pseudo-operations | en |
dc.subject | non-additive measures | en |
dc.subject | generalized convolution | en |
dc.subject | measure | en |
dc.subject | probability | en |
dc.subject | PDE | en |
dc.subject | fuzzy numbers | en |
dc.subject | Probabilistic Metric Spaces | en |
dc.subject | pseudo-operacije | sr |
dc.subject | neaditivne mere | sr |
dc.subject | uopštena konvolucija | sr |
dc.subject | mera | sr |
dc.subject | verovarnoća | sr |
dc.subject | PDJ | sr |
dc.subject | probabilistički metrički prostori | sr |
dc.subject | fazi brojevi | sr |
dc.title | Uopštena konvolucija | sr |
dc.title.alternative | Generalized convolution | en |
dc.type | doctoralThesis | en |
dc.rights.license | BY-NC | |
dcterms.abstract | Пап, Ендре; Пап, Ендре; Такачи, Aрпад; Хаджић, Олга; Месиар, Радко; Штајнер-Папуга, Ивана; Уопштена конволуција; Уопштена конволуција; | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/65033/IzvestajKomisije.pdf | |
dc.identifier.fulltext | https://nardus.mpn.gov.rs/bitstream/id/65032/Disertacija.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_nardus_17372 |