Pregled bibliografske jedinice broj: 1095252
Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence
Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence // Journal of inequalities and applications, 2020 (2020), 1; 108, 16 doi:10.1186/s13660-020-02369-x (međunarodna recenzija, članak, znanstveni)
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Naslov
Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence
Autori
Pečarić, Josip ; Perić, Jurica
Izvornik
Journal of inequalities and applications (1025-5834) 2020
(2020), 1;
108, 16
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality ; Lah–Ribarič inequality ; Hermite–Hadamard inequality ; Hölder inequality ; Csiszár divergence ; Integral form
Sažetak
In this paper, we give refinements of the integral form of Jensen’s inequality and the Lah–Ribarič inequality. Using these results, we obtain a refinement of the Hölder inequality and a refinement of some inequalities for integral power means and quasiarithmetic means. We also give applications in information theory, namely, we give some interesting estimates for the integral Csiszár divergence and its important particular cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Split
Poveznice na cjeloviti tekst rada:
doi journalofinequalitiesandapplications.springeropen.com journalofinequalitiesandapplications.springeropen.comCitiraj 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
