Pregled bibliografske jedinice broj: 1270224
Majorization in Information Theory
Majorization in Information Theory // Journal of inequalities and special functions, 8 (2017), 4; 42-56 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270224 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Majorization in Information Theory
Autori
Latif, Navid ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Journal of inequalities and special functions (2217-4303) 8
(2017), 4;
42-56
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
information theory, majorization, inequality, Csisz ́ar f -divergence
Sažetak
In this paper, we give the generalized results for majorization inequality in integral form by using Csisz ́ar f -divergence. We show how the Shannon entropy is connected to the theory of majorization. We also give Shannon entropy and the Kullback-Leibler divergence for obtained results. As applications, we present the ma- jorization inequality for various distances like variational distance, Hellinger distance, χ2-divergence, Bhattacharyya distance, Harmonic distance, Jeffreys distance and trian- gular discrimination which obtain by applying some special type of convex functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
