ON NON-LINEAR APPROXIMATIONS OF PERIODIC FUNCTIONS OF BESOV CLASSES USING WAVELET DECOMPOSITIONS

Mai Xuan Thao

Abstract

           In the present paper, we extend results of Dinh Dung [5] on non-linear n-term L_q-approximation and non-linear widths to the Besov class SB^ω_p,θ where 1 ≤ p, q ≤ ∞, 0 < θ ≤ ∞, and ω is a given function of modulus of smoothness type.