Sherman’s and related inequalities with applications in information theory (CROSBI ID 250839)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ivelić Bradanović, Slavica ; Latif, Naveed ; Pečarić, Đilda ; Pečarić, Josip
engleski
Sherman’s and related inequalities with applications in information theory
In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct connection to information theory. We use the obtained results to derive new estimates for Shannon’s and Rényi’s entropy, information energy, and some well-known measures between probability distributions. Using the Zipf–Mandelbrot law, we introduce new functionals to derive some related results.
Sherman theorem ; Majorization inequality ; Jensen inequality ; Green
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Podaci o izdanju
2018 (1)
2018.
1-21
objavljeno
1029-242X
1029-242X
10.1186/s13660-018-1692-0