Integrals Involving Product of Polynomials and Daubechies Scale Functions

نویسندگان
Alipanah, Amjad ID 1
Pendar, Masoud ID 2
Sadeghi, Kaveh ID 3

1 Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, I. R. Iran

2 Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, I. R. Iran

3 Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, I. R. Iran

doi
10.22052/mir.2021.239849.1225
چکیده

In this paper, we will introduce an algorithm for obtaining integrals of the form ∫x0 tm φ(t)dt, m ∈ N ∪ {0}, where φ is the scaling functions of Daubechies wavelet. In order to obtain these integrals in dyadic points for x’s, we have to solve a linear system. We will investigate, sparseness, well-conditioning and strictly diagonal dominant of matrices of these systems.

کلیدواژه‌ها
Daubechies wavelets, Scaling functions, Dyadic points, Diagonal dominant, Well-condition