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.

Authors
Pečaríc J. 1, 2 , Períc J.3
Journal
Mathematical Inequalities and Applications
Publisher
Element D.O.O.
Number of issue
1
Language
English
Pages
217-234
Status
Published
Link
External link
DOI
10.7153/mia-2018-21-17
Volume
21
Year
2018
Organizations
  • 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
Keywords
Converse Hölder inequality; Converse Jensen inequality; Converse Minkowski inequality; Convex functions; Positive linear functional; Quasi-arthmetic mean
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7243/
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