Integrals Involving Product of Polynomials and Daubechies Scale Functions

Document Type : Original Scientific Paper

Authors

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


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