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Some new inequalities involving the Hardy operator
Sofia University, Bulgaria.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). The Arctic University of Norway.ORCID iD: 0000-0002-5914-3247
The Arctic University of Norway.
2020 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 293, no 2, p. 376-385Article in journal (Refereed) Published
Abstract [en]

In this paper we derive some new inequalities involving the Hardy operator, using some estimates of the Jensen functional, continuous form generalization of the Bellman inequality and a Banach space variant of it. Some results are generalized to the case of Banach lattices on 0,𝑏],0<𝑏≤∞.
Place, publisher, year, edition, pages
Weinheim, Germany: Wiley-VCH Verlagsgesellschaft, 2020. Vol. 293, no 2, p. 376-385
Keywords [en]
Banach lattice, Bellman’s inequality, Hardy operator, Hardy-type inequalities, Jensen functional, Jensen’sinequality, the Jensen gap
National Category
Mathematics Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-75037DOI: 10.1002/mana.201900080ISI: 000497127800001OAI: oai:DiVA.org:kau-75037DiVA, id: diva2:1358568
Note

Sofia University SRF, Grant/Award Number:80-10-13/2018

Available from: 2019-10-08 Created: 2019-10-08 Last updated: 2021-12-10Bibliographically approved

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Persson, Lars-Erik
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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