|
This article is cited in 6 scientific papers (total in 6 papers)
Brief Communications
A Necessary Condition for the Convergence of Simple Partial Fractions in $L_p(\mathbb R)$
I. R. Kayumov
N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan Federal University
Keywords:
simple partial fraction, the space $L_p(\mathbb R)$, Hilbert transform
DOI:
https://doi.org/10.4213/mzm9248
 Full text:
PDF file (285 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 2012, 92:1, 140–143
Bibliographic databases:
    
Received: 12.08.2011
Citation:
I. R. Kayumov, “A Necessary Condition for the Convergence of Simple Partial Fractions in $L_p(\mathbb R)$”, Mat. Zametki, 92:1 (2012), 149–152; Math. Notes, 92:1 (2012), 140–143
Citation in format AMSBIB
\Bibitem{Kay12}
\by I.~R.~Kayumov
\paper A Necessary Condition for the Convergence of Simple Partial Fractions in~$L_p(\mathbb R)$
\jour Mat. Zametki
\yr 2012
\vol 92
\issue 1
\pages 149--152
\mathnet{http://mi.mathnet.ru/mz9248}
\crossref{https://doi.org/10.4213/mzm9248}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3201551}
\zmath{https://zbmath.org/?q=an:06138371}
\elib{http://elibrary.ru/item.asp?id=20731577}
\transl
\jour Math. Notes
\yr 2012
\vol 92
\issue 1
\pages 140--143
\crossref{https://doi.org/10.1134/S0001434612070164}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000308042500016}
\elib{http://elibrary.ru/item.asp?id=20476636}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865767970}
Linking options:
http://mi.mathnet.ru/eng/mz9248https://doi.org/10.4213/mzm9248 http://mi.mathnet.ru/eng/mz/v92/i1/p149
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
A. V. Kayumova, “Skhodimost ryadov prostykh drobei v $L_p(\mathbb R)$”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 154, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2012, 208–213
 -
I. R. Kayumov, A. V. Kayumova, “Convergence of the imaginary parts of simplest fractions in $L_p(\mathbb R)$ for $p<1$”, J. Math. Sci. (N. Y.), 202:4 (2014), 553–559
-
V. I. Danchenko, A. E. Dodonov, “Estimates for $L_p$-norms of simple partial fractions”, Russian Math. (Iz. VUZ), 58:6 (2014), 6–15
-
V. I. Danchenko, L. A. Semin, “Sharp quadrature formulas and inequalities between various metrics for rational functions”, Siberian Math. J., 57:2 (2016), 218–229
-
Chunaev P. Danchenko V., “Quadrature Formulas With Variable Nodes and Jackson-Nikolskii Inequalities For Rational Functions”, J. Approx. Theory, 228 (2018), 1–20
-
V. I. Danchenko, M. A. Komarov, P. V. Chunaev, “Ekstremalnye i approksimativnye svoistva naiprosteishikh drobei”, Izv. vuzov. Matem., 2018, no. 12, 9–49
|
| Number of views: |
| This page: | 499 | | Full text: | 80 | | References: | 41 | | First page: | 42 |
|
Terms of Use