Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/28987
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Perović Aleksandar | - |
dc.contributor.advisor | Grbić Tatjana | - |
dc.contributor.author | Medić Slavica | - |
dc.contributor.other | Štajner-Papuga Ivana | - |
dc.contributor.other | Kovačević Ilija | - |
dc.contributor.other | Mihailović Biljana | - |
dc.contributor.other | Sovilj Platon | - |
dc.contributor.other | Perović Aleksandar | - |
dc.contributor.other | Grbić Tatjana | - |
dc.date.accessioned | 2020-12-14T16:08:27Z | - |
dc.date.available | 2020-12-14T16:08:27Z | - |
dc.date.issued | 2014-04-25 | - |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/28987 | - |
dc.description.abstract | <p>Integralne nejednakosti Jensena i Čebiševa<br />uopštene su za integrale bazirane na neaditivnim<br />merama. Prvo uopštenje dokazano je za<br />pseudo-integral skupovno-vrednosne funkcije, a<br />drugo za pseudo-integral realno-vrednosne funkcije<br />u odnosu na intervalno-vrednosnu -meru.<br />Dokazana je i uopštena nejednakost Čebiševa<br />za pseudo-integral realno-vrednosne funkcije i<br />njena dva intervalno-vrednosna oblika. Nejednakost<br />Jensena je primenjena u principu premije, a<br />nejednakost Čebiševa na procenu verovatnoće.</p> | sr |
dc.description.abstract | <p>Integral inequalities of Jensen and Chebyshev type are<br />generalized for integrals based on nonadditive measures.<br />The first generalization is proven for the pseudointegral<br />of a set valued function and the second one<br />for the pseudo-integral of a real-valued function with<br />respect to the interval-valued -measure. Generalized<br />Chebyshev inequality for the pseudo-integral of a realvalued<br />function and its two interval-valued forms are<br />proven. Jensen inequality is applied in the premium<br />principle and Chebyshev inequality is applied to the<br />probability estimation.</p> | en |
dc.language.iso | sr (latin script) | - |
dc.publisher | Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu | sr |
dc.publisher | University of Novi Sad, Faculty of Technical Sciences at Novi Sad | en |
dc.source | CRIS UNS | - |
dc.source.uri | http://cris.uns.ac.rs | - |
dc.subject | Semiring, -measure, pseudo-integral, Chebyshev inequality,Jensen inequality | en |
dc.subject | poluprsten, -mera, pseudo-integral, nejednakost Čebiševa, nejednakost Jensena | sr |
dc.title | Jensen and Chebyshev inequalities for interval-valued functions | en |
dc.title | Nejednakosti Jensena i Čebiševa za intervalno-vrednosne funkcije | sr |
dc.type | Thesis | en |
dc.identifier.url | https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija139273112378013.pdf?controlNumber=(BISIS)85543&fileName=139273112378013.pdf&id=1367&source=BEOPEN&language=en | en |
dc.identifier.url | https://www.cris.uns.ac.rs/record.jsf?recordId=85543&source=BEOPEN&language=en | en |
dc.identifier.externalcrisreference | (BISIS)85543 | - |
dc.source.institution | Fakultet tehničkih nauka u Novom Sadu | sr |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Departman za opšte discipline u tehnici | - |
crisitem.author.parentorg | Fakultet tehničkih nauka | - |
Appears in Collections: | FTN Teze/Theses |
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