Estimation of f-divergence and Shannon entropy by Levinson type inequalities via new Green’s functions and Lidstone polynomial

By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2 p+ 1) -convex functions are obtained. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well. © 2020, The Author(s).

Авторы
Adeel M.1, 2 , Khan K.A.1 , Pečarić Ð.3 , Pečarić J. 4
Издательство
Springer International Publishing
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
27
Том
2020
Год
2020
Организации
  • 1 Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • 2 Department of Mathematics, University of Central Punjab, Lahore, Pakistan
  • 3 Catholic University of Croatia, Zagreb, Croatia
  • 4 RUDN University, Moscow, Russian Federation
Ключевые слова
Green’s functions; Information theory; Levinson’s inequality; Lidstone interpolating polynomial
Дата создания
10.02.2020
Дата изменения
10.02.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/56488/