Pregled bibliografske jedinice broj: 1267207
Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence
Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence // Mathematics, 10 (2022), 5; 755, 18 doi:10.3390/math10050755 (međunarodna recenzija, članak, znanstveni)
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Naslov
Refinement of Discrete Lah–Ribarič Inequality and
Applications on Csiszár Divergence
Autori
Pečarić, Đilda ; Pečarić, Josip ; Perić, Jurica
Izvornik
Mathematics (2227-7390) 10
(2022), 5;
755, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lah–Ribarič inequality ; Jensen inequality ; Hölder’s inequalit ; power mean ; quasi-arithmetic mean ; Csiszár divergence ; Zipf–Mandelbrot law
Sažetak
In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities for discrete weighted power means and discrete weighted quasi-arithmetic means are obtained. We also give applications in the information theory ; namely, we give some interesting estimations for the discrete Csiszár divergence and for its important special cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Hrvatska akademija znanosti i umjetnosti,
Prirodoslovno-matematički fakultet, Split,
Sveučilište Sjever, Koprivnica
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
