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A new look at classical inequalities involving Banach lattice norms
Department of Mathematics and Informatics, Sofia University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UiT, The Artic University of Norwa.
Department of Mathematics, University of Zagreb.
2017 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 2017, article id 302Article in journal (Refereed) Published
Abstract [en]

ome 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.

Place, publisher, year, edition, pages
Springer, 2017. Vol. 2017, article id 302
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-67012DOI: 10.1186/s13660-017-1576-8ISI: 000417805500001PubMedID: 29276358Scopus ID: 2-s2.0-85037651684OAI: oai:DiVA.org:ltu-67012DiVA, id: diva2:1166053
Note

Validerad;2018;Nivå 2;2017-12-14 (andbra)

Available from: 2017-12-14 Created: 2017-12-14 Last updated: 2018-01-08Bibliographically approved

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