Pregled bibliografske jedinice broj: 1270568
Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial
Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial // Advances in difference equations, 2020 (2020), 27, 15 doi:10.1186/s13660-020-02408-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial
Autori
Adeel, Muhammad ; Khan, Khuram Ali ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Advances in difference equations (1687-1839) 2020
(2020);
27, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Information theory, Levinson’s inequality, Lidstone interpolating polynomial, Green’s functions
Sažetak
By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2p+1)-convex functions are obtained. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well.
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