Pregled bibliografske jedinice broj: 1271276
A New Refinement of the Jensen Inequality with Applications in Information Theory
A New Refinement of the Jensen Inequality with Applications in Information Theory // Bulletin of the Malaysian Mathematical Sciences Society, 44 (2021), 1; 267-278 doi:10.1007/s40840-020-00944-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1271276 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A New Refinement of the Jensen Inequality with Applications in Information Theory
Autori
Khan, Muhammad Adil ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 44
(2021), 1;
267-278
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality ; Mean ; Csiszár div ; Shannon entropy ; Zipf–Mandelbrot entropy
Sažetak
The Jensen inequality is one of the most important inequalities in theory of inequalities, and numerous results are devoted to this inequality. This inequality has many applications in several fields. This article is devoted to present a new interesting refinement of the well-known Jensen inequality and to give applications for means. The paper also aims to achieve numerous applications in information theory ; in particular, a comprehensive detail has been given for Zipf’s law and obtained bounds for Zipf–Mandelbrot entropy. At the end of the article, a more general refinement of Jensen inequality is presented associated with m finite sequences.
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
