Methodology and Computing in Applied Probability.
Springer New York LLC.
Том 22.
2020.
С. 401-432
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).
Авторы
Khalid S.1
,
Pečarić Ð.2
,
Pečarić J.
3
Издательство
Springer International Publishing
Язык
Английский
Статус
Опубликовано
Ссылка
Номер
99
Том
2019
Год
2019
Организации
- 1 Department of Mathematics, COMSATS University Islamabad, Lahore, Pakistan
- 2 Catholic University of Croatia, Zagreb, Croatia
- 3 Rudn University, Moscow, Russian Federation
Ключевые слова
Cauchy means; n-exponential convexity and logarithmic convexity; Non-increasing sequence in weighted mean; Shannon entropy; Wright-convex function; Zipf–Mandelbrot entropy
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Статья
Mathematical Notes.
Том 105.
2019.
С. 140-144