Pregled bibliografske jedinice broj: 1270239
On Zipf-Mandelbrot Entropy and 3-Convex Functions
On Zipf-Mandelbrot Entropy and 3-Convex Functions // Advances in operator theory, 4 (2019), 4; 724-725 doi:10.15352/aot.1810-1426 (međunarodna recenzija, članak, znanstveni)
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Naslov
On Zipf-Mandelbrot Entropy and 3-Convex Functions
Autori
Khalid, Sadia ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Advances in operator theory (2538-225X) 4
(2019), 4;
724-725
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
n-convex function , n-exponential convexity , divided difference , logarithmic convexity , Shannon entropy , Zipf-Mandelbrot entropy
Sažetak
In this paper, we present some interesting results related to the bounds of Zipf-Mandelbrot entropy and the 3-convexity of the function. Further, we define linear functionals as the nonnegative differences of the obtained inequalities and we present mean value theorems for the linear functionals. Finally, we discuss the n-exponential convexity and the log-convexity of the functions associated with the linear functionals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
Hrvatsko katoličko sveučilište, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
