Pregled bibliografske jedinice broj: 1219361
Measure theoretic generalizations of Jensen's inequality by Fink's identity
Measure theoretic generalizations of Jensen's inequality by Fink's identity // Miskolc Mathematical Notes, 23 (2022), 1; 131-154 doi:10.18514/MMN.2022.3656 (međunarodna recenzija, članak, znanstveni)
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Naslov
Measure theoretic generalizations of Jensen's
inequality by Fink's identity
Autori
Butt, Saad Ihsan ; Rasheed, Tahir ; Pecaric, Đilda ; Pecaric, Josip
Izvornik
Miskolc Mathematical Notes (1787-2405) 23
(2022), 1;
131-154
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality ; n-convex function ; Fink’s identity ; divergence functional ; entropy ; hybrid Zipf-Mandelbrot entropy
Sažetak
We generalize integral Jensen’s inequality and its converse for real Stieltjes measure utilizing the theory of n−convex function by employing Fink’s identity. We also give several versions of discrete Jensen’s inequality along with its reverses and its converse for real weights. As an application we give generalized variants of Hermite-Hadamard’s inequality. Also we give applications in information theory by giving new estimations of generalized divergence functional, Shannon and relative entropies. Finally we give connections to Zipf-Mandelbrot and hybrid Zipf- Mandelbrot entropies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Informacijske i komunikacijske znanosti, Interdisciplinarne društvene znanosti
POVEZANOST RADA
Ustanove:
Sveučilište Sjever, Koprivnica
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
