Pregled bibliografske jedinice broj: 1270564
New refinement of the Jensen inequality associated to certain functions with applications
New refinement of the Jensen inequality associated to certain functions with applications // Journal of inequalities and applications, 2020 (2020), 1; 76, 15 doi:10.1186/s13660-020-02343-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
New refinement of the Jensen inequality associated to certain functions with applications
Autori
Khan, Muhammad Adil ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2020
(2020), 1;
76, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality, Convex functions, Hölder inequality, Means, Csiszár divergence, Shannon entropy
Sažetak
This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Hrvatsko katoličko sveučilište, Zagreb
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
