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

Authors :
N.V. Parfinovych
V.V. Pylypenko
Source :
Researches in Mathematics, Vol 28, Iss 2, Pp 10-23 (2020)
Publication Year :
2020
Publisher :
Oles Honchar Dnipro National University, 2020.

Abstract

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.

Details

Language :
English, Ukrainian
ISSN :
26644991 and 26645009
Volume :
28
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Researches in Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.0f968abf372147d69b5f28bbba9d534c
Document Type :
article
Full Text :
https://doi.org/10.15421/242007