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On moduli of p-continuity
Karlstad University, Faculty of Technology and Science, Department of Mathematics.ORCID iD: 0000-0001-5459-0796
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Matematik)ORCID iD: 0000-0002-1752-1211
2012 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 137, no 3, p. 191-213Article in journal (Refereed) Published
Abstract [en]

Moduli of p-continuity provide a measure of fractional smoothness of functions via p-variation. We prove sharp estimates of the modulus of p-continuty in terms of the modulus of q-continuity (1<p<q<\infty).

Place, publisher, year, edition, pages
Springer , 2012. Vol. 137, no 3, p. 191-213
Keywords [en]
p-variation, modulus of p-continuty, fractional smoothness, class of functions, embedding
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-15249DOI: 10.1007/s10474-012-0246-zISI: 000309856000003OAI: oai:DiVA.org:kau-15249DiVA, id: diva2:562023
Available from: 2012-10-23 Created: 2012-10-23 Last updated: 2017-12-07Bibliographically approved

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Kolyada, ViktorLind, Martin

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