Pregled bibliografske jedinice broj: 1270232
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law // Open Mathematics, 16 (2018), 1; 1357-1373 doi:.org/10.1515/math-2018-0113 (međunarodna recenzija, članak, znanstveni)
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Naslov
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Autori
Latif, Naveed ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Open Mathematics (2391-5455) 16
(2018), 1;
1357-1373
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
“Useful” Csiszár divergence ; “Useful” Zipf-Mandelbrot law ; Majorization inequality ; Convex functions ; Green functions ; Information theory
Sažetak
In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences. We obtain the equivalent statements between continuous convex functions and Green functions via majorization inequalities, “useful” Csiszár functional and “useful” Zipf-Mandelbrot law. By considering “useful” Csiszár divergence in the integral case, we give the results for integral majorization inequality. Towards the end, some applications are given.
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
