FURTHER IMPROVEMENT OF AN EXTENSION OF HOLDER-TYPE INEQUALITY

In 1995 Pearce and Pecaric proved an extension of Holder's inequality. In this paper we extend their result in a measure theoretic sense and further improve it using log-convexity of related linear functionals. Moreover, we study the action of related linear functionals on families of exponentially convex functions.

Авторы
Jaksetic J.1 , Pecaric J. 2 , Kalamir K.S.3
Издательство
Element D.O.O.
Номер выпуска
4
Язык
Английский
Страницы
1161-1175
Статус
Опубликовано
Том
22
Год
2019
Организации
  • 1 Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
  • 2 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
  • 3 Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
Ключевые слова
Holder's inequality; Steffensen's inequality; measure theory; exponential convexity; log-convexity
Дата создания
24.12.2019
Дата изменения
24.12.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/55636/