On Shannon and Zipf–Mandelbrot entropies and related results

Journal of Inequalities and Applications

卷:2019

Ðilda Pečarić¹  Sadia Khalid²  Josip Pečarić³ 

[1] Catholic University of Croatia;

[2] Department of Mathematics, COMSATS University Islamabad;

[3] Rudn University;

关键词: Shannon entropy;    Zipf–Mandelbrot entropy;    Non-increasing sequence in weighted mean;    Wright-convex function;    Cauchy means;    n-exponential convexity and logarithmic convexity;   

DOI  :  10.1186/s13660-019-2037-3

来源: DOAJ

【 摘 要 】

Abstract In this paper, we present some interesting results related to the bounds of the Shannon and the Zipf–Mandelbrot entropies. Further, we define linear functionals and present their properties. We also construct new family of exponentially convex functions and Cauchy-type means.

【 授权许可】

Unknown