On the Classification of Functions Integrable on a Segment

We study the problem of classification of functions integrable on a segment. Estimates for the integral moduli of continuity are obtained for functions from generalized Potapov’s classes.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2016-10, Vol.68 (5), p.728-745
Main Authors: Motornaya, O. V., Motornyi, V. P., Sedunova, V. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Classification
Continuity (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We study the problem of classification of functions integrable on a segment. Estimates for the integral moduli of continuity are obtained for functions from generalized Potapov’s classes.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1254-x