On asymptotic behavior of Battle-Lemarié scaling functions and wavelets

نویسندگان

  • Hong Oh Kim
  • Rae Young Kim
  • Ja Seung Ku
چکیده

We show that the ‘centered’ Battle-Lemarié scaling function and wavelet of order n converge in L(2 ≤ q ≤ ∞), uniformly in particular, to the Shannon scaling function and wavelet as n tends to the infinity. AMS 2000 Subject Classification: 41A60, 42A20, 42C40.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2007