On the rate of convergence of orthorecursive expansions over non-orthogonal wavelets
Alexander Yurjevich Kudryavtsev · Izvestiya Mathematics · 2012
We consider orthorecursive expansions (a generalization of orthogonal series) over families of non-orthogonal wavelets formed by the dyadic dilations and integer shifts of a given function . We estimate the rate of convergence of such expansions under some fairly relaxed restrictions on and give examples of these estimates in some concrete cases.