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

N.V. Parfinovych (Oles Honchar Dnipro National University)
V.V. Pylypenko (Oles Honchar Dnipro National University)


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.


Kolmogorov inequality; fractional derivative; modulus of continuity; norm

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DOI: https://doi.org/10.15421/242007



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