کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605297 | 1337561 | 2012 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regularity of boundary wavelets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Regularity of boundary wavelets Regularity of boundary wavelets](/preview/png/4605297.png)
چکیده انگلیسی
The conventional way of constructing boundary functions for wavelets on a finite interval is by forming linear combinations of boundary-crossing scaling functions. Desirable properties such as regularity (i.e. continuity and approximation order) are easy to derive from corresponding properties of the interior scaling functions. In this article we focus instead on boundary functions defined by recursion relations. We show that the number of boundary functions is uniquely determined, and derive conditions for determining regularity from the recursion coefficients. We show that there are regular boundary functions which are not linear combinations of shifts of the underlying scaling functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 32, Issue 1, January 2012, Pages 65-85
Journal: Applied and Computational Harmonic Analysis - Volume 32, Issue 1, January 2012, Pages 65-85