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https://open.uns.ac.rs/handle/123456789/26310| Title: | Generalized convolution Uopštena konvolucija |
Authors: | Štajner-Papuga Ivana | Keywords: | semiring, pseudo-operations, non-additive measures, generalized convolution, measure, probability, PDE, fuzzy numbers, Probabilistic Metric Spaces;poluprsten, pseudo-operacije, neaditivne mere, uopštena konvolucija, mera, verovarnoća, PDJ, probabilistički metrički prostori, fazi brojevi | Issue Date: | 28-Dec-2001 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>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.</p> <p>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.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/26310 |
| Appears in Collections: | PMF Teze/Theses |
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