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    STUDIA MATHEMATICA - Issue no. 4 / 2006  
         
  Article:   PIECEWISE LINEAR INTERPOLATION REVISITED: BLAC-WAVELETS.

Authors:  H. GONSKA, D. KACSO, O. NEMITZ, P. PIŢUL.
 
       
         
  Abstract:  The central issue of the present note is the BLaC operator, a "Blending of Linear and Constant" approach. Several properties are proved, e.g., its positivity and the reproduction of constant functions. Starting from these results, error estimates in terms of wi and u are given. Furthermore, we present the degree of approximation in the bivari ate tensor product case. This is applcable to image compression.  
         
     
         
         
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