On inequalities for $L_p$-norms of fractional derivatives on the real domain

We obtain new inequalities for fractional Marchaud derivatives of functions defined on the whole real domain, in integral metric ($1 \leqslant p < \infty$); for $p = 1$ we establish the sharpness of obtained inequalities.

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Bibliographic Details
Published in	Researches in mathematics (Online) Vol. 15; p. 26
Main Authors	Babenko, V.F., Churilova, M.S.
Format	Journal Article
Language	English
Published	15.02.2021
Online Access	Get full text

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Summary:	We obtain new inequalities for fractional Marchaud derivatives of functions defined on the whole real domain, in integral metric ($1 \leqslant p < \infty$); for $p = 1$ we establish the sharpness of obtained inequalities.
ISSN:	2664-4991 2664-5009
DOI:	10.15421/240704