Pregled bibliografske jedinice broj: 990509
Total positivity of Toeplitz matrices of recursive Hypersequences
Total positivity of Toeplitz matrices of recursive Hypersequences // ARS Mathematica Contemporanea, 17 (2019), 1; 125-139 doi:10.26493/1855-3974.1526.b8d (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 990509 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Total positivity of Toeplitz matrices of
recursive
Hypersequences
Autori
Došlić, Tomislav ; Martinjak, Ivica ; Škrekovski, Riste
Izvornik
ARS Mathematica Contemporanea (1855-3966) 17
(2019), 1;
125-139
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
total positivity ; totally positive matrix ; Toeplitz matrix ; Hankel matrix, hyperfibonacci sequence, log-concavity
Sažetak
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 $r \geq 1$ and large enough $n$.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Geodetski fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
