Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions

We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.

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Bibliographic Details
Published in:Researches in mathematics (Online) 2020-12, Vol.28 (2), p.10-23
Main Authors: Parfinovych, N.V., Pylypenko, V.V.
Format: Article
Language:English
Subjects:
fractional derivative
kolmogorov inequality
modulus of continuity
norm
Online Access:Get full text
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Description
Summary:We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.
ISSN:2664-4991
2664-5009
DOI:10.15421/242007