New improvement of the converse jensen inequality

We give a new refinement of the converse Jensen inequality for linear functionals as well as improvements of some related results. Especially, we give two refinements of the converse Hölder inequality for functionals and a refinement of the converse Minkowski inequality for functionals. Application on the quasi-arithmetic and power mean is given. © ELEMEN , Zagreb.

Авторы
Pečaríc J. 1, 2 , Períc J.3
Журнал
Mathematical Inequalities and Applications
Издательство
Element D.O.O.
Номер выпуска
1
Язык
Английский
Страницы
217-234
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.7153/MIA-2018-21-17
Том
21
Год
2018
Организации
  • 1 Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovíca 30, Zagreb, 10000, Croatia
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
  • 3 Faculty of Science, Departments of Mathematics, University of Split, Rud-era Boškovicá 33, Split, 21000, Croatia
Ключевые слова
Converse Hölder inequality; Converse Jensen inequality; Converse Minkowski inequality; Convex functions; Positive linear functional; Quasi-arthmetic mean
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