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Table 1 Decay rates \(\pmb{\beta^{m,l,\alpha}_{0}}\) of refinable functions with the mask \(\pmb{\tau^{m,l,\alpha}_{0}(\omega)}\) , for \(\pmb{7\leq m \leq13}\) , \(\pmb{1\leq l < m-5}\) , and \(\pmb{\alpha=0.01}\)

From: Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials

( m , l )

l  = 1

l  = 2

l  = 3

l  = 4

l  = 5

l  = 6

l  = 7

m = 7

10.6157

      

m = 8

12.2067

11.6886

     

m = 9

13.7834

11.7927

10.2549

    

m = 10

15.3438

13.2786

11.6088

10.2745

   

m = 11

16.8868

14.6887

12.9622

11.448

10.3499

  

m = 12

18.4116

16.1224

14.3121

11.7464

11.506

10.4583

 

m = 13

19.9179

17.5444

15.6561

14.0890

12.7551

10.8736

10.5870