Relationship between the Boyanov–Naydenov problem and Kolmogorov-type inequalities

UDC 517.5 We prove that the Boyanov–Naidenov problem $\|x^{(k)}\|_{q,\, \delta} \to \sup,$ $k= 0,1, \ldots ,r-1,$ on the classes of functions $\Omega^r_p(A_0, A_r) := \{x\in L^r_{\infty}\colon \|x^{(r)}\|_{\infty}\le A_r,\ L(x)_p\le A_0 \},$ where...

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Bibliographic Details
Date:2024
Main Authors: Kofanov, V., Кофанов, Владимир Александрович, Кофанов, Володимир
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7656
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal