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This article is cited in 10 scientific papers (total in 11 papers)
Brief Communications
The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity
A. G. Babenkoa, N. I. Chernykha, V. T. Shevaldin
a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
DOI:
https://doi.org/10.4213/mzm1129
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English version:
Mathematical Notes, 1999, 65:6, 777–781
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Received: 20.01.1998
Citation:
A. G. Babenko, N. I. Chernykh, V. T. Shevaldin, “The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity”, Mat. Zametki, 65:6 (1999), 928–932; Math. Notes, 65:6 (1999), 777–781
Citation in format AMSBIB
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\jour Math. Notes
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http://mi.mathnet.ru/eng/mz1129https://doi.org/10.4213/mzm1129 http://mi.mathnet.ru/eng/mz/v65/i6/p928
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This publication is cited in the following articles:
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S. B. Vakarchuk, “Exact Constants in Jackson-type Inequalities and Exact Values of Widths”, Math. Notes, 78:5 (2005), 735–739
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M. Sh. Shabozov, G. A. Yusupov, “Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in $L_2$”, Siberian Math. J., 52:6 (2011), 1124–1136
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“Nikolai Ivanovich Chernykh. (K semidesyatipyatiletiyu so dnya rozhdeniya)”, Tr. IMM UrO RAN, 17, no. 3, 2011, 14–18
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Draganov B.R., Parvanov P.E., “On Estimating the Rate of Best Trigonometric Approximation by a Modulus of Smoothness”, Acta Math. Hung., 131:4 (2011), 360–379
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M. Sh. Shabozov, K. Tukhliev, “Best Polynomial Approximations and the Widths of Function Classes in $L_{2}$”, Math. Notes, 94:6 (2013), 930–937
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G. A. Yusupov, “Best polynomial approximations and widths of certain classes of functions in the space $L_2$”, Eurasian Math. J., 4:3 (2013), 120–126
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G. A. Yusupov, “Tochnye znacheniya poperechnikov nekotorykh klassov funktsii iz $L_2$ i minimizatsiya konstant v neravenstvakh tipa Dzheksona–Stechkina”, Model. i analiz inform. sistem, 20:5 (2013), 106–116
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Yusupov G.A., “Jackson's-Stechkin's Inequality and the Values of Widths For Some Classes of Functions From $L_2$”, Anal. Math., 40:1 (2014), 69–81
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Draganov B.R., “An Improved Jackson Inequality For the Best Trigonometric Approximation”, Ukr. Math. J., 65:9 (2014), 1354–1362
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K. Tukhliev, “O priblizhenii periodicheskikh funktsii v $L_2$ i znacheniyakh poperechnikov nekotorykh klassov funktsii”, Model. i analiz inform. sistem, 22:1 (2015), 127–143
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M. Sh. Shabozov, K. Tukhliev, “Neravenstva Dzheksona — Stechkina c obobschennymi modulyami nepreryvnosti i poperechniki nekotorykh klassov funktsii”, Tr. IMM UrO RAN, 21, no. 4, 2015, 292–308
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