Pregled bibliografske jedinice broj: 954186
Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function // Mathematical inequalities & applications, 21 (2018), 2; 575-584 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 954186 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
Autori
Jakšetić, Julije ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 21
(2018), 2;
575-584
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Zipf-Mandelbrot law ; Hurwitz ζ -function ; log-convexity ; Chebyshev’s inequality ; Lyapunov’s inequality
Sažetak
In this paper we deal with analytical properties of the Zipf-Mandelbrot law. If total mass of this law is spread all over positive integers we come to Hurwitz ζ -function. As we show, it is very natural first to examine properties of Hurwitz ζ -function to derive properties of Zipf-Mandelbrot law. Using some well-known inequalities such as Chebyshev’s and Lyapunov’s inequality we are able to deduce a whole variety of theoretical characterizations that include, among others, log-convexity, log-subadditivity, exponential convexity.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
