The exact values of the upper bounds of the modulus of Fourier-Haar coefficients of functions of one variable has been obtained on the classes of functions of boundary variations KV_{p} (1≤p<∞). The behavior of Fourier-Haar coefficients of functions of several variables has been investigated for functions of boundary variations from the classes V_{p,d}(II^{d}), KV_{p,d} (1≤p<∞) and KV^{*}_{1,d}. On these classes of functions of several variables the exact results has been obtained.

Periodical:

International Journal of Advanced Research in Mathematics (Volume 4)

Pages:

14-22

Citation:

A. Shchitov, "The Exact Estimates of Fourier-Haar Coefficients of Functions of Bounded Variation", International Journal of Advanced Research in Mathematics, Vol. 4, pp. 14-22, 2016

Online since:

February 2016

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Open Access

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Creative Commons Attribution 4.0 International License

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Cited By:

[1] A. Shchitov, "Best One-Sided Approximation of Some Classes of Functions of Several Variables by Haar Polynomials", International Journal of Advanced Research in Mathematics, Vol. 6, p. 42, 2016

DOI: https://doi.org/10.18052/www.scipress.com/IJARM.6.42[2] A. Shchitov, "On Approximation of the Continuous Functions of Two Variables by the Fourier-Haar ”Angle”", International Journal of Advanced Research in Mathematics, Vol. 5, p. 23, 2016

DOI: https://doi.org/10.18052/www.scipress.com/IJARM.5.23