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Generalized convolution

dc.contributor.advisorPap, Endre
dc.contributor.otherHadžić, Olga
dc.contributor.otherTakači, Arpad
dc.contributor.otherMesiar, Radko
dc.contributor.otherPap, Endre
dc.creatorŠtajner-Papuga, Ivana
dc.date.accessioned2020-08-28T15:14:40Z
dc.date.available2020-08-28T15:14:40Z
dc.date.issued2001-12-28
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159601881371827.pdf?controlNumber=(BISIS)5987&fileName=159601881371827.pdf&id=16329&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/record.jsf?recordId=5987&source=NaRDuS&language=srsr
dc.identifier.urihttps://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159601443271033.pdf?controlNumber=(BISIS)5987&fileName=159601443271033.pdf&id=16328&source=NaRDuS&language=srsr
dc.identifier.uri/DownloadFileServlet/IzvestajKomisije159601443271033.pdf?controlNumber=(BISIS)5987&fileName=159601443271033.pdf&id=16328
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/17372
dc.description.abstractU 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.abstractIn 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.languagesr (latin script)
dc.publisherУниверзитет у Новом Саду, Природно-математички факултетsr
dc.rightsAttribution-NonCommercial
dc.sourceУниверзитет у Новом Садуsr
dc.subjectpoluprsten, pseudo-operacije, neaditivne mere, uopštena konvolucija, mera, verovarnoća, PDJ, probabilistički metrički prostori, fazi brojevisr
dc.subjectsemiring, pseudo-operations, non-additive measures, generalized convolution, measure, probability, PDE, fuzzy numbers, Probabilistic Metric Spacesen
dc.titleUopštena konvolucijasr
dc.title.alternativeGeneralized convolutionen
dc.typeDoktorska disertacijasr
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/65033/IzvestajKomisije.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/65032/Disertacija.pdf


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