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Jackson-Type Inequalities in the Spaces $S^{(p,q)}(\sigma^{m-1})$
R. A. Lasuriya
Abkhazian State University
Abstract:
In the case of approximation of functions by using linear methods of summation of their Fourier–Laplace series in the spaces $S^{(p,q)}(\sigma^{m-1})$, $m\ge 3$, for classes of functions defined by transformations of their Fourier–Laplace series using multipliers, Jackson-type inequalities are established in terms of operators which are also defined by the corresponding transformations of the Fourier–Laplace series.
Keywords:
Fourier–Laplace series, linear summation methods, best approximations, convolution.
DOI:
https://doi.org/10.4213/mzm11996
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English version:
Mathematical Notes, 2019, 105:5, 707–719
Bibliographic databases:
  
UDC:
517.5
Received: 13.03.2018
Revised: 27.06.2018
Citation:
R. A. Lasuriya, “Jackson-Type Inequalities in the Spaces $S^{(p,q)}(\sigma^{m-1})$”, Mat. Zametki, 105:5 (2019), 724–739; Math. Notes, 105:5 (2019), 707–719
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz11996https://doi.org/10.4213/mzm11996 http://mi.mathnet.ru/eng/mz/v105/i5/p724
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