Naslov
Generalized cyclic Jensen and information inequalities

Autori
Rasheed, Tahir ; Butt, Saad Ihsan ; Pečarić, Đilda ; Pečarić, Josip

Izvornik
Chaos, solitons and fractals (0960-0779) 163 (2022); 112602, 10

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
3-convex function ; Entropy ; Cyclic-divergence functional ; Cyclic-Kullback–Leibler distance

Sažetak
We present Levinson’s type generalizations of cyclic refinements of Jensen’s inequality by employing recent class of functions that further characterize and extend the family of 3-convex functions. We get monotonic cyclic Jensen’s inequalities and particularly the renowned Jensen’s inequality for 3-convex functions at a point (f∈κ1c(I)). As an applications in information theory, we first introduce new Csiszár type cyclic divergence functional for 3-convex functions and establish cyclic-Kullback–Leibler and Hellinger distances. We give monotonicity of cyclic divergence functionals which enable us to construct monotonic Shannon, Relative and Zipf– Mandelbrot entropies

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Informacijske i komunikacijske znanosti, Interdisciplinarne društvene znanosti

POVEZANOST RADA