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QUASI—INTERPOLATION AND APPROXIMATION VIA NONSEPARABLE SCALING FUNCTION
作者姓名:EnbingLin  LingYi
作者单位:UniversityofTolede,USA
摘    要:Quasi-interpolation has been studied in many papers,e.g.,5].Here we introduce nonseparable scaling function quasi-interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system.Several equivalent statements of accuracy of nonseparable scaling function are also given.In the numerical experiments,it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases.

关 键 词:拟插值  不可分标度函数  多变量小波  函数逼近  广义逼近理论  标量小波系统

Quasi-interpolation and approximation via nonseparable scaling function
EnbingLin LingYi.Quasi-interpolation and approximation via nonseparable scaling function[J].Approximation Theory and Its Applications,2002,18(3):65-78.
Authors:Enbing Lin and Ling Yi
Institution:(2) Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada;
Abstract:Quasi-interpolation has been studied in many papers, e. g., 5]. Here we introduce nonseparable scaling function quasi-interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonseparable scaling function are also given. In the numerical experiments, it appears that nonseparable scaling function interpolation has better convergence results than scalar wavelet systems in some cases.
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