On moduli of p-continuity

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

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Bibliographic Details
Published inActa mathematica Hungarica Vol. 137; no. 3; pp. 191 - 213
Main Authors Kolyada, V. I., Lind, M.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.11.2012
Subjects
class of functions
embedding
fractional smoothness
Matematik
Mathematics
Mathematics and Statistics
modulus of p-continuty
p-variation
modulus of
46E35
fractional smoothness
class of functions
46E30
continuity
26B35
embedding
variation
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Summary:Moduli of p -continuity provide a measure of fractional smoothness of functions via p -variation. We prove a sharp estimate of the modulus of p -continuity in terms of the modulus of q -continuity (1< p < q <∞).
ISSN:0236-5294
1588-2632
1588-2632
DOI:10.1007/s10474-012-0246-z