Vestnik Rossiiskoi Akademii Meditsinskikh Nauk.
Vol. 72.
2017.
P. 5-10
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).
Authors
Nikolova L.1
,
Persson L.-E.
2,
3,
4
,
Varošanec S.5
Publisher
Springer International Publishing
Language
English
Status
Published
Link
Number
302
Volume
2017
Year
2017
Organizations
- 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
Keywords
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
Date of creation
19.10.2018
Date of change
19.10.2018
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