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The Exact Estimates of Fourier-Haar Coefficients of Functions of Bounded Variation

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Abstract:

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 KVp (1≤p<∞). The behavior of Fourier-Haar coefficients of functions of several variables has been investigated for functions of boundary variations from the classes Vp,d(IId), KVp,d (1≤p<∞) and KV*1,d. On these classes of functions of several variables the exact results has been obtained.

Info:

Periodical:
International Journal of Advanced Research in Mathematics (Volume 4)
Pages:
14-22
DOI:
10.18052/www.scipress.com/IJARM.4.14
Citation:
A. N. 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:
Feb 2016
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