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This article is cited in 2 scientific papers (total in 2 papers)
On Jackson's theorem in the space $\ell_2(\mathbb Z_2^n)$
V. I. Ivanov, O. I. Smirnov
Tula State University
Abstract:
Estimates of Jackson's constants in the space v are given for the case of approximation by sums of subspaces on which irreducible representations of the isometry group of $\mathbb Z_2^n$ act and for the case in which the modulus of continuity is defined using generalized translations.
Coding theory results on efficiency estimates for binary $d$-codes with respect to the Hamming distance are used.
DOI:
https://doi.org/10.4213/mzm1839
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English version:
Mathematical Notes, 1996, 60:3, 288–299
Bibliographic databases:
  
UDC:
517.5
Received: 13.02.1996
Citation:
V. I. Ivanov, O. I. Smirnov, “On Jackson's theorem in the space $\ell_2(\mathbb Z_2^n)$”, Mat. Zametki, 60:3 (1996), 390–405; Math. Notes, 60:3 (1996), 288–299
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz1839https://doi.org/10.4213/mzm1839 http://mi.mathnet.ru/eng/mz/v60/i3/p390
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This publication is cited in the following articles:
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A. G. Babenko, “An exact Jackson–Stechkin inequality for $L^2$-approximation on the interval with the Jacobi weight and on projective spaces”, Izv. Math., 62:6 (1998), 1095–1119
  -
S. S. Platonov, “Some problems in the theory of approximation of functions on compact homogeneous manifolds”, Sb. Math., 200:6 (2009), 845–885
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