On Shannon and Zipf–Mandelbrot entropies and related results

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. © 2019, The Author(s).

Authors
Khalid S.1 , Pečarić Ð.2 , Pečarić J. 3
Publisher
Springer International Publishing
Language
English
Status
Published
Number
99
Volume
2019
Year
2019
Organizations
  • 1 Department of Mathematics, COMSATS University Islamabad, Lahore, Pakistan
  • 2 Catholic University of Croatia, Zagreb, Croatia
  • 3 Rudn University, Moscow, Russian Federation
Keywords
Cauchy means; n-exponential convexity and logarithmic convexity; Non-increasing sequence in weighted mean; Shannon entropy; Wright-convex function; Zipf–Mandelbrot entropy
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/39001/
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