V. Babenko

collaborators

2 papers

math.FA2017

Estimation of wavelet coefficients on some classes of functions

Vladislav Babenko, Susanna Spektor

Let $Ψ_{m}^{D}$ be orthogonal Daubechies wavelets that have m zero moments and let $W_{2, p}^{k} = {f \in L_{2} (R) : ∥ (I ω)^{k} f^(ω) ∥_{p} \leq 1}, k \in N .$ We prove that $$ \lim_{m \…

math.FA2015

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials

V. F. Babenko, V. V. Babenko, M. V. Polischuk

Generalizations of some known results on the best, best linear and best one-sided approxima- tions by trigonometric polynomials of the classes of 2π- periodic functions presented i…