Pregled bibliografske jedinice broj: 1270555
Several new cyclic Jensen type inequalities and their applications
Several new cyclic Jensen type inequalities and their applications // Journal of inequalities and applications, 2019 (2019), 240, 10 doi:10.1186/s13660-019-2191-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
Several new cyclic Jensen type inequalities and their applications
Autori
Mehmood, Nasir ; Butt, Saad Ihsan ; Pečarić, Ðilda ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2019
(2019);
240, 10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality, Higher order convexity, Taylor’s formula, New Green functions, Shannon entropy, Kullback–Leibler divergence, Zipf–Mandelbrot entropy
Sažetak
We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula. We discuss the monotonicity of functionals for n-convex functions at a point. Applications of our work include new bounds for some important inequalities used in information theory.
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
