A. I. Kozko, A. V. Rozhdestvenskii, “On Jackson's Inequality for Generalized Moduli of Continuity”, Mat. Zametki, 73:5 (2003), 783–788; Math. Notes, 73:5 (2003), 736

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Matematicheskie Zametki, 2003, Volume 73, Issue 5, Pages 783–788
DOI: https://doi.org/10.4213/mzm632 (Mi mzm632)

This article is cited in 15 scientific papers (total in 15 papers)

Brief Communications

On Jackson's Inequality for Generalized Moduli of Continuity

A. I. Kozko, A. V. Rozhdestvenskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (276 kB) Citations (15)

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DOI: https://doi.org/10.4213/mzm632

Received: 05.07.2002

English version:
Mathematical Notes, 2003, Volume 73, Issue 5, Pages 736–741
DOI: https://doi.org/10.1023/A:1024029208953

Bibliographic databases:

Document Type: Article

UDC: 517.5

Language: Russian

Citation: A. I. Kozko, A. V. Rozhdestvenskii, “On Jackson's Inequality for Generalized Moduli of Continuity”, Mat. Zametki, 73:5 (2003), 783–788; Math. Notes, 73:5 (2003), 736–741

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm632

https://doi.org/10.4213/mzm632

https://www.mathnet.ru/eng/mzm/v73/i5/p783

This publication is cited in the following 15 articles:

Sergіi Vakarchuk, Valentina Zabutna, Mikhailo Vakarchuk, “Userednenі kharakteristiki gladkostі v $L_2$ ta otsіnki znachen poperechnikіv funktsіonalnikh klasіv”, Ukr. Mat. Zhurn., 77:2 (2025), 83
S. Vakarchuk, M. Vakarchuk, “Nablizhennya v serednomu sumami Fur'є–Besselya klasіv funktsіi u prostorі
L 2
[
( 0,1 )
; x ]
ta otsіnki znachen ïkh n -poperechnikіv”, Ukr. Mat. Zhurn., 76:2 (2024), 198
Sergii Vakarchuk, Mykhailo Vakarchuk, “Approximation in the Mean for the Classes Of Functions in the Space L2[(0, 1); x] by The Fourier–Bessel Sums And Estimation of the Values of Their n-Widths”, Ukr Math J, 76:2 (2024), 214
M. Sh. Shabozov, K. K. Palavonov, “Neravenstva tipa Dzheksona – Stechkina i znachenie poperechnikov nekotorykh klassov funktsii v $L_{2}$”, Dalnevost. matem. zhurn., 22:1 (2022), 125–137
Vakarchuk S.B., “Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space l-2(). i”, Ukr. Math. J., 70:9 (2019), 1345–1374
S. B. Vakarchuk, “On Estimates in $L_2(\mathbb{R})$ of Mean $\nu$-Widths of Classes of Functions Defined via the Generalized Modulus of Continuity of $\omega_{\mathcal{M}}$”, Math. Notes, 106:2 (2019), 191–202
M. Sh. Shabozov, A. A. Shabozova, “Nekotorye tochnye neravenstva tipa Dzheksona - Stechkina dlya periodicheskikh differentsiruemykh v smysle Veilya funktsii v $L_2$”, Tr. IMM UrO RAN, 25, no. 4, 2019, 255–264
M. Sh. Shabozov, “Nekotorye voprosy approksimatsii periodicheskikh funktsii trigonometricheskimi polinomami v $L_2$”, Chebyshevskii sb., 20:4 (2019), 385–398
S. B. Vakarchuk, “Best Polynomial Approximations and Widths of Classes of Functions in the Space $L_2$”, Math. Notes, 103:2 (2018), 308–312
M. Sh. Shabozov, A. D. Farozova, “Tochnoe neravenstvo Dzheksona–Stechkina s neklassicheskim modulem nepreryvnosti”, Tr. IMM UrO RAN, 22, no. 4, 2016, 311–319
Vakarchuk S.B., “Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of (?, ?)-Differentiable Functions in L 2. I”, Ukr. Math. J., 68:6 (2016), 823–848
Gu Y. Liu Y., “The Sharp Jackson Inequality For $L^2$-Approximation on the Periodic Cylinder”, Acta Math. Sci., 35:2 (2015), 375–382
V. S. Balaganskii, “On the Continuity of the Sharp Constant in the Jackson–Stechkin Inequality in the Space $L^2$”, Math. Notes, 93:1 (2013), 12–28
V. S. Balaganskii, “Exact constant in the Jackson–Stechkin inequality in the space $L^2$ on the period”, Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S78–S102
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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