A strengthened Cauchy-Schwarz inequality for biorthogonal wavelets
Alessandra De Rossi · Mathematical Inequalities & Applications · 1999
A strengthened Cauchy-Schwarz inequality for spaces of biorthogonal wavelets defined on the real line and on the interval is proved. The strengthened Cauchy-Schwarz inequality is a fundamental tool in the analysis of the multilevel methods and, in particular, plays an important role in the a posteriori error estimates for hierarchical methods.