Some Properties of the Moduli of Continuity of Periodic Functions in Metric Spaces

Let L 0 ( T ) be the set of real-valued periodic measurable functions, let Ψ: R + → R + be the modulus of continuity, and let L Ψ ≡ L Ψ T = f ∈ L 0 T : f Ψ ≔ 1 2 π ∫ T Ψ f x dx < ∞ . We study the properties of multiple moduli of continuity for the functions from L Ψ .

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Bibliographic Details
Published in:Ukrainian mathematical journal 2017-05, Vol.68 (12), p.1920-1928
Main Author: Pichugov, S. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Continuity (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Periodic functions
Statistics
Citations: Items that this one cites
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Description
Summary:Let L 0 ( T ) be the set of real-valued periodic measurable functions, let Ψ: R + → R + be the modulus of continuity, and let L Ψ ≡ L Ψ T = f ∈ L 0 T : f Ψ ≔ 1 2 π ∫ T Ψ f x dx < ∞ . We study the properties of multiple moduli of continuity for the functions from L Ψ .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1338-2