{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-XKTX0WIL/ada8a4b9-7b6e-4a72-bcfc-6d1e343be8fa/PDF","dcterms:extent":"307 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-XKTX0WIL/ed889a1e-4265-46c7-8980-d31bc4dd2903/TEXT","dcterms:extent":"28 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-XKTX0WIL","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Došlić, Tomislav","Martinjak, Ivica","Škrekovski, Riste"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:17"},{"@xml:lang":"sl","#text":"str. 125-139"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:2048603923","URN:URN:NBN:SI:doc-XKTX0WIL"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"Hankel matrix"},{"@xml:lang":"sl","#text":"Hankelova matrika"},{"@xml:lang":"sl","#text":"hiperfibonaccijevo zaporedje"},{"@xml:lang":"en","#text":"hyperfibonacci sequence"},{"@xml:lang":"en","#text":"log-concavity"},{"@xml:lang":"sl","#text":"log-konkavnost"},{"@xml:lang":"en","#text":"Toeplitz matrix"},{"@xml:lang":"sl","#text":"Toeplitzova matrika"},{"@xml:lang":"en","#text":"total positivity"},{"@xml:lang":"en","#text":"totally positive matrix"},{"@xml:lang":"sl","#text":"totalna pozitivnost"},{"@xml:lang":"sl","#text":"totalno pozitivne matrike"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Total positivity of Toeplitz matrices of recursive hypersequences|"},"dc:description":[{"@xml:lang":"sl","#text":"We present a new class of totally positive Toeplitz matrices composed of recently introduced hyperfibonacci numbers of the ?$r$?-th generation. As a consequence, we obtain that all sequences ?$F_n^{(r)}$? of hyperfibonacci numbers of ?$r$?-th generation are log-concave for ?$r \\ge 1$? and large enough ?$n$?"},{"@xml:lang":"sl","#text":"Predstavimo nov razred totalno pozitivnih Toeplitzevih matrik, sestavljenih iz nedavno vpeljanih hiperfibonaccijevih števil ?$r$?-te generacije. Pokažemo, da so vsa zaporedja ?$F_n^{(r)}$? hiperfibonaccijevih števil ?$r$?-te generacije log-konkavna za ?$r \\ge 1$? in dovolj velike ?$n$?"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-XKTX0WIL","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-XKTX0WIL"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-XKTX0WIL/ada8a4b9-7b6e-4a72-bcfc-6d1e343be8fa/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-XKTX0WIL/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-XKTX0WIL"}}}}