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Kolmogorov-Type Inequalities for the Norms of Fractional Derivatives of Functions Defined on the Positive Half Line

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Published in 2021 at "Ukrainian Mathematical Journal"

DOI: 10.1007/s11253-021-01873-7

Abstract: We obtain new Kolmogorov-type sharp inequalities estimating the norm of the Marchaud fractional derivative $$ {\left\Vert {D}_{-}^kf\right\Vert}_{\infty } $$ of a function f defined on the positive half line in terms of ‖f‖p, 1  read more here.

Keywords: half line; defined positive; kolmogorov type; positive half ... See more keywords