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On Hardy‑type inequalities as an intellectual adventure for 100 years
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). UiT The Arctic University of Norway, Norway.ORCID iD: 0000-0002-5914-3247
UiT The Arctic University of Norway, Norway.
2024 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 280, p. 180-197Article in journal (Refereed) Published
Abstract [en]

We describe some chosen ideas and results for more than 100 years prehistory and history of the remarkable development concerning Hardy-type inequalities. In particular, we present a newer convexity approach, which we believe could partly have changed this development if Hardy had discovered it. In order to emphasize the current very active interest in this subject, we finalize by presenting some examples of the recent results, which we believe have potential not only to be of interest for a broad audience from a historical perspective, but also to be useful in various applications. 

Place, publisher, year, edition, pages
Springer, 2024. Vol. 280, p. 180-197
Keywords [en]
Integral inequalities, Hardy-type inequalities, Convexity, History and biography, Applications
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-98639DOI: 10.1007/s10958-023-06807-1Scopus ID: 2-s2.0-85184255470OAI: oai:DiVA.org:kau-98639DiVA, id: diva2:1841033
Available from: 2024-02-27 Created: 2024-02-27 Last updated: 2025-10-16Bibliographically approved

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Persson, Lars-Erik

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