Naslov
Some New Improvements of Jensen’s Inequality

Autori
Muhammad Adil Khan, Khuram Ali Khan, Đilda Pečarić, Josip Pečarić

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Izdavač
Element

Grad
Zagreb

Godina
2020

Stranica
137

ISBN
978-953-197-689-3

Ključne riječi
Inequalities ; jensen's Inequalities ; Ziph-Mandelbrot law ; Information theory

Sažetak
The classical Jensen inequality is a famous tool to construct new results in the theory of inequalities. It has numerous applications in abstract and applied sciences. In this monograph, some recent developments in theory of inequalities with respect to Jensen's inequality are collected and presented. Applications are given in information theory by evaluating the estimates for different entropies and divergences via some recent and existing refinements of Jensen's inequality. The results for convex functions in this context are also generalized for higher order convex functions by means of interpolating polynomials.

Izvorni jezik
Engleski

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

POVEZANOST RADA