Pregled bibliografske jedinice broj: 936354
Sherman’s and related inequalities with applications in information theory
Sherman’s and related inequalities with applications in information theory // Journal of inequalities and applications, 2018 (2018), 1; 1-21 doi:10.1186/s13660-018-1692-0 (međunarodna recenzija, članak, znanstveni)
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Naslov
Sherman’s and related inequalities with applications
in information theory
Autori
Ivelić Bradanović, Slavica ; Latif, Naveed ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2018
(2018), 1;
1-21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sherman theorem ; Majorization inequality ; Jensen inequality ; Green
Sažetak
In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct connection to information theory. We use the obtained results to derive new estimates for Shannon’s and Rényi’s entropy, information energy, and some well-known measures between probability distributions. Using the Zipf–Mandelbrot law, we introduce new functionals to derive some related results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split
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
