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
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
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
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39001/