On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment

We study the following modification of the Landau–Kolmogorov problem: Let k; r ∈ ℕ, 1 ≤ k ≤ r − 1, and p, q, s ∈ [1,∞]. Also let MM^m, m ∈ ℕ; be the class of nonnegative functions defined on the segment [0, 1] whose derivatives of orders 1, 2,…,m are nonnegative almost everywhere on [0, 1]. For ever...

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Datum:2012
1. Verfasser: Skorokhodov, D.S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2012
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On inequalities for the norms of intermediate derivatives of multiply monotone functions defined on a finite segment / D.S. Skorokhodov // Український математичний журнал. — 2012. — Т. 64, № 4. — С. 508-524. — Бібліогр.: 31 назв. — англ.

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