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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 6, Pages 9–19 (Mi ivm8900)  
This article is cited in 6 scientific papers (total in 6 papers)

Estimates for $L_p$-norms of simple partial fractions

V. I. Danchenko, A. E. Dodonov

Chair of Functional Analysis and its Applications, Vladimir State University, 87 Gorky str., Vladimir, 600000 Russia
Full-text PDF (232 kB) Citations (6)
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Abstract: We obtain estimates for $L_p$-norms of simple partial fractions in terms of their $L_r$-norms on limited and unlimited segments of the real axis for different $p>1$ and $r>1$ (S. M. Nikolskii type inequalities). We adduce examples and remarks about sharpness of these inequalities and sphere of their application.
Keywords: simple partial fractions, $L_p$-norms, estimates for derivatives of simple partial fractions.
Received: 17.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 6, Pages 6–15
DOI: https://doi.org/10.3103/S1066369X14060024
Bibliographic databases:
Document Type: Article
UDC: 517.538+517.444
Language: Russian
Citation: V. I. Danchenko, A. E. Dodonov, “Estimates for $L_p$-norms of simple partial fractions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 6, 9–19; Russian Math. (Iz. VUZ), 58:6 (2014), 6–15
Citation in format AMSBIB
\Bibitem{DanDod14}
\by V.~I.~Danchenko, A.~E.~Dodonov
\paper Estimates for $L_p$-norms of simple partial fractions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 6
\pages 9--19
\mathnet{http://mi.mathnet.ru/ivm8900}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 6
\pages 6--15
\crossref{https://doi.org/10.3103/S1066369X14060024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84900871294}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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