Pregled bibliografske jedinice broj: 1271264
Generalizations of Cyclic Refinements of Jensen's Inequality by Lidstone's Polynomial with Applications in Information Theory
Generalizations of Cyclic Refinements of Jensen's Inequality by Lidstone's Polynomial with Applications in Information Theory // Journal of mathematical inequalities, 14 (2020), 1; 249-271 doi:10.7153/jmi-2020-14-17 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of Cyclic Refinements of Jensen's Inequality by Lidstone's Polynomial with Applications in Information Theory
Autori
Mehmood, Nasir ; Butt, Saad Ihsan ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Journal of mathematical inequalities (1846-579X) 14
(2020), 1;
249-271
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
2n-convex function ; Lidstone's polynomial ; new Green functions ; divergence functional ; Shannon entropy ; relative entropy ; Zipf-Mandelbrot entropy
Sažetak
Jensen’s inequality plays pivotal role in attaining divergence between probability dis- tributions. Shannon, Relative and Zipf-Mandelbrot entropies have ample applications in many applied sciences, especially in information theory, biology, economics, etc. In the present paper, we have obtained new generalizations of cyclic refinements of Jensen’s inequality using differ- ent new Green functions by employing Lidstone’s polynomial. As an application of our obtained results we have given new entropic bounds. Also, we have established the connections between Shannon and Relative entropy with Zipf-Mandelbrot entropy
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Ustanove:
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
