Title of article :
Integrals Involving Product of Polynomials and Daubechies Scale Functions
Author/Authors :
Alipanah, Amjad Department of Mathematics - Faculty of Sciences - University of Kurdistan, Sanandaj, Iran , Pendar, Masoud Department of Mathematics - Faculty of Sciences - University of Kurdistan, Sanandaj, Iran , Sadeghi, Kaveh Department of Mathematics - Faculty of Sciences - University of Kurdistan, Sanandaj, Iran
Abstract :
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.
Keywords :
Daubechies wavelets , scaling functions , dyadic points , diagonal dom- inant , well-condition
Journal title :
Mathematics Interdisciplinary Research
