A new look at classical inequalities involving Banach lattice norms

Some classical inequalities are known also in a more general form of Banach lattice norms and/or in continuous forms (i.e., for ‘continuous’ many functions are involved instead of finite many as in the classical situation). The main aim of this paper is to initiate a more consequent study of classical inequalities in this more general frame. We already here contribute by discussing some results of this type and also by deriving some new results related to classical Popoviciu’s, Bellman’s and Beckenbach-Dresher’s inequalities. © 2017, The Author(s).

Авторы
Nikolova L.1 , Persson L.-E. 2, 3, 4 , Varošanec S.5
Редакторы
-
Издательство
Springer International Publishing
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
302
Том
2017
Год
2017
Организации
  • 1 Department of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
  • 2 Department of Engineering Sciences and Mathematics, Luleȧ University of Technology, Luleȧ, Sweden
  • 3 UiT, The Artic University of Norway, Tromsö, Norway
  • 4 RUDN University, Moscow, Russian Federation
  • 5 Department of Mathematics, University of Zagreb, Zagreb, Croatia
Ключевые слова
Banach function space; Beckenbach-Dresher’s inequality; Bellman’s inequality; continuous forms; Hölder’s inequality; inequalities; interpolation of families of spaces; Milne’s inequality; Minkowski’s inequality; Popoviciu’s inequality
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6271/