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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
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English version:
Mathematical Notes, 2012, 92:1, 140–143
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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
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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:
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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
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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
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V. I. Danchenko, A. E. Dodonov, “Estimates for $L_p$-norms of simple partial fractions”, Russian Math. (Iz. VUZ), 58:6 (2014), 6–15
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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
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Chunaev P. Danchenko V., “Quadrature Formulas With Variable Nodes and Jackson-Nikolskii Inequalities For Rational Functions”, J. Approx. Theory, 228 (2018), 1–20
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V. I. Danchenko, M. A. Komarov, P. V. Chunaev, “Extremal and approximative properties of simple partial fractions”, Russian Math. (Iz. VUZ), 62:12 (2018), 6–41
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