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.
International Journal of Advanced Research in Mathematics (Volume 4)
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