On Shannon and Zipf–Mandelbrot entropies and related results

On Shannon and Zipf–Mandelbrot entropies and related results

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.

Bibliographic Details
Main Authors: Sadia Khalid, Ðilda Pečarić, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of Inequalities and Applications
Subjects:
Shannon entropy
Zipf–Mandelbrot entropy
Non-increasing sequence in weighted mean
Wright-convex function
Cauchy means
n-exponential convexity and logarithmic convexity
Online Access:http://link.springer.com/article/10.1186/s13660-019-2037-3

Internet

http://link.springer.com/article/10.1186/s13660-019-2037-3

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