Wavelets: Properties and approximate solution of a second kind integral equation
In this paper, we show that, under some conditions, a wavelet basis of L-2(R) can be used as. a tool for the uniform approximation in the space C-alpha(R) boolean AND L-2(R), alpha > 0, where C-alpha(R) denotes the Holder space of exponent a. As a result of this property, we give a numerical application of wavelets. This application is a wavelet-based method for the numerical solution of a Fredholm equation of the second kind with solution lying in C-0(alpha)(R), the Holder space of compactly supported functions with Holder exponent alpha > 1/2. (C) 2003 Elsevier Science Ltd. All rights reserved.
uniform approximation fredholm equation of the second kind orthonormal wavelets sobolev and holder regularities projection operator