|
This article is cited in 20 scientific papers (total in 20 papers)
Two related extremal problems for entire functions of several variables
E. E. Berdysheva Ural State University
DOI:
https://doi.org/10.4213/mzm1174
Full text:
PDF file (278 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 1999, 66:3, 271–282
Bibliographic databases:
UDC:
517.5 Received: 23.03.1998 Revised: 29.03.1999
Citation:
E. E. Berdysheva, “Two related extremal problems for entire functions of several variables”, Mat. Zametki, 66:3 (1999), 336–350; Math. Notes, 66:3 (1999), 271–282
Citation in format AMSBIB
\Bibitem{Ber99}
\by E.~E.~Berdysheva
\paper Two related extremal problems for entire functions of several variables
\jour Mat. Zametki
\yr 1999
\vol 66
\issue 3
\pages 336--350
\mathnet{http://mi.mathnet.ru/mz1174}
\crossref{https://doi.org/10.4213/mzm1174}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1737364}
\zmath{https://zbmath.org/?q=an:0976.41015}
\transl
\jour Math. Notes
\yr 1999
\vol 66
\issue 3
\pages 271--282
\crossref{https://doi.org/10.1007/BF02676434}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000086188000002}
Linking options:
http://mi.mathnet.ru/eng/mz1174https://doi.org/10.4213/mzm1174 http://mi.mathnet.ru/eng/mz/v66/i3/p336
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:
-
D. V. Gorbachev, “Extremum problems for entire functions of exponential spherical type”, Math. Notes, 68:2 (2000), 159–166
-
A. I. Kozko, A. V. Rozhdestvenskii, “On Jackson's Inequality for Generalized Moduli of Continuity”, Math. Notes, 73:5 (2003), 736–741
-
A. I. Kozko, A. V. Rozhdestvenskii, “On Jackson's inequality for a generalized modulus of continuity in $L_2$”, Sb. Math., 195:8 (2004), 1073–1115
-
D. V. Gorbachev, S. A. Strankovskii, “An extremal problem for even positive definite entire functions of exponential type”, Math. Notes, 80:5 (2006), 673–678
-
Li J., Liu Y., “The Jackson Inequality for the Best L-2-Approximation of Functions on [0,1] with the Weight x”, Numerical Mathematics-Theory Methods and Applications, 1:3 (2008), 340–356
-
A. V. Ivanov, V. I. Ivanov, “Dunkl theory and Jackson inequality in $L_2(\mathbb R^d)$ with power weight”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S86–S98
-
Ivanov A.V., “Zadacha logana dlya tselykh funktsii mnogikh peremennykh i konstanty dzheksona v vesovykh prostranstvakh”, Izvestiya Tulskogo gosudarstvennogo universiteta. Seriya: Estestvennye nauki, 2011, no. 2, 29–58
-
Ivanov V.I., “Tochnye $l_2$-neravenstva dzheksona - chernykh - yudina v teorii priblizhenii”, Izvestiya tulskogo gosudarstvennogo universiteta. estestvennye nauki, 2012, no. 3, 19–28
-
A. V. Ivanov, V. I. Ivanov, “Optimal Arguments in Jackson's Inequality in the Power-Weighted Space $L_2(\mathbb{R}^d)$”, Math. Notes, 94:3 (2013), 320–329
-
D. V. Gorbachev, “An estimate of an optimal argument in the sharp multidimensional Jackson–Stechkin $L_2$-inequality”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 70–78
-
V. I. Ivanov, A. V. Ivanov, “Optimal Arguments in the Jackson–Stechkin Inequality in $L_2(\mathbb{R}^d)$ with Dunkl Weight”, Math. Notes, 96:5 (2014), 666–677
-
Liu Y.P. Song Ch.Yu., “Dunkl's Theory and Best Approximation By Entire Functions of Exponential Type in $L_2$-Metric With Power Weight”, Acta. Math. Sin.-English Ser., 30:10 (2014), 1748–1762
-
R. A. Veprintsev, “Approximation of the Multidimensional Jacobi Transform in $L_2$ by Partial Integrals”, Math. Notes, 97:6 (2015), 831–845
-
D. V. Gorbachev, V. I. Ivanov, “Approximation in $L_2$ by Partial Integrals of the Fourier Transform over the Eigenfunctions of the Sturm–Liouville Operator”, Math. Notes, 100:4 (2016), 540–549
-
D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Approximation in $L_2$ by partial integrals of the multidimensional Fourier transform in the eigenfunctions of the Sturm–Liouville operator”, Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 97–113
-
D. V. Gorbachev, V. I. Ivanov, “Nekotorye ekstremalnye zadachi dlya preobrazovaniya Fure po sobstvennym funktsiyam operatora Shturma–Liuvillya”, Chebyshevskii sb., 18:2 (2017), 34–53
-
D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Nekotorye ekstremalnye zadachi garmonicheskogo analiza i teorii priblizhenii”, Chebyshevskii sb., 18:4 (2017), 140–167
-
Ivanov V., Ivanov A., “Generalized Logan'S Problem For Entire Functions of Exponential Type and Optimal Argument in Jackson'S Inequality in l-2((3))”, Acta. Math. Sin.-English Ser., 34:10 (2018), 1563–1577
-
D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Vtoraya ekstremalnaya zadacha Logana dlya preobrazovaniya Fure po sobstvennym funktsiyam operatora Shturma–Liuvillya”, Chebyshevskii sb., 19:1 (2018), 57–78
-
D. V. Gorbachev, V. I. Ivanov, “Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem”, Sb. Math., 210:6 (2019), 809–835
|
Number of views: |
This page: | 332 | Full text: | 124 | References: | 36 | First page: | 1 |
|