Pregled bibliografske jedinice broj: 914010
Majorization, Csiszár divergence and Zipf- Mandelbrot law
Majorization, Csiszár divergence and Zipf- Mandelbrot law // Journal of inequalities and applications, 2017 (2017), 197, 15 doi:10.1186/s13660-017-1472-2 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 914010 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Majorization, Csiszár divergence and Zipf- Mandelbrot law
Autori
Latif, Naveed ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2017
(2017);
197, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
majorization inequality ; Csiszár f-divergence ; Shannon entropy ; Kullback-Leibler divergence ; Zipf-Mandelbrot law
Sažetak
In this paper we show how the Shannon entropy is connected to the theory of majorization. They are both linked to the measure of disorder in a system. However, the theory of majorization usually gives stronger criteria than the entropic inequalities. We give some generalized results for majorization inequality using Csiszár f-divergence. This divergence, applied to some special convex functions, reduces the results for majorization inequality in the form of Shannon entropy and the Kullback-Leibler divergence. We give several applications by using the Zipf-Mandelbrot law.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb
Poveznice na cjeloviti tekst rada:
doi journalofinequalitiesandapplications.springeropen.com doi.orgCitiraj 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
