Title of article :
Strengthened Cauchy–Schwarz inequality
for biorthogonal wavelets in Sobolev spaces
Author/Authors :
A. De Rossi، نويسنده , , L. Rodino، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Abstract :
We prove a strengthened Cauchy–Schwarz inequality for one-dimensional biorthogonal wavelets.
The functional frame is given by a class of Hilbert spaces, defined in terms of weighted Fourier
transforms, which contain as relevant examples the standard Sobolev spaces H(s) as well as their homogeneous
version. Intended applications concern multilevel and hierarchical methods for numerical
approximation of partial differential equations.
2004 Elsevier Inc. All rights reserved
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications