Pregled bibliografske jedinice broj: 1270247
New Bounds for Shannon, Relative and Mandelbrot Entropies Via Abel-Gontscharoff Interpolating Polynomial
New Bounds for Shannon, Relative and Mandelbrot Entropies Via Abel-Gontscharoff Interpolating Polynomial // Mathematical inequalities & applications, 22 (2019), 4; 1283-1301 doi:10.7153/mia-2019-22-88 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1270247 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New Bounds for Shannon, Relative and Mandelbrot Entropies Via Abel-Gontscharoff Interpolating Polynomial
Autori
Butt, Saad Ihsan ; Mehmood, Nasir ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 22
(2019), 4;
1283-1301
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
n− convex function, Abel-Gontscharoff interpolating polynomial, new Green functions, Shannon entropy, relative entropy, Zipf-Mandelbrot entropy
Sažetak
The Jensen’s inequality has tremendous implications in many fields of modern analy- sis. It helps computing useful upper bounds for several entropic measures used in information theory. We use discrete and continuous cyclic refinements of Jensen’s inequality and extend them from convex to higher order convex function by using new Green functions and Abel- Gontscharoff interpolating polynomial. As an application of our work, we establish connection among new entropic bounds for Shanon, Relative and Mandelbrot entropies
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)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
