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

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.

Bibliographic Details
Main Authors: N.V. Parfinovych, V.V. Pylypenko
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2020-12-01
Series:Researches in Mathematics
Subjects:
kolmogorov inequality
fractional derivative
modulus of continuity
norm
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/131/131
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spelling doaj-0f968abf372147d69b5f28bbba9d534c2020-12-28T07:58:40ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092020-12-01282102310.15421/242007Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functionsN.V. Parfinovych0V.V. Pylypenko1Oles Honchar Dnipro National UniversityOles Honchar Dnipro National UniversityWe 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.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/131/131kolmogorov inequalityfractional derivativemodulus of continuitynorm
collection DOAJ
language English
format Article
sources DOAJ
author N.V. Parfinovych
V.V. Pylypenko
spellingShingle N.V. Parfinovych
V.V. Pylypenko
Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
Researches in Mathematics
kolmogorov inequality
fractional derivative
modulus of continuity
norm
author_facet N.V. Parfinovych
V.V. Pylypenko
author_sort N.V. Parfinovych
title Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
title_short Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
title_full Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
title_fullStr Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
title_full_unstemmed Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
title_sort kolmogorov inequalities for norms of marchaud-type fractional derivatives of multivariate functions
publisher Oles Honchar Dnipro National University
series Researches in Mathematics
issn 2664-4991
2664-5009
publishDate 2020-12-01
description 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.
topic kolmogorov inequality
fractional derivative
modulus of continuity
norm
url https://vestnmath.dnu.dp.ua/index.php/rim/article/view/131/131
work_keys_str_mv AT nvparfinovych kolmogorovinequalitiesfornormsofmarchaudtypefractionalderivativesofmultivariatefunctions
AT vvpylypenko kolmogorovinequalitiesfornormsofmarchaudtypefractionalderivativesofmultivariatefunctions
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