2024 : 5 : 6
Amjad Alipanah

Amjad Alipanah

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 16549281500
Faculty: Faculty of Science
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Research

Title
Integrals Involving Product of Polynomials and Daubechies Scale Functions
Type
JournalPaper
Keywords
Daubechies wavelets, Scaling functions, Dyadic points, Diagonal dominant, Well-condition
Year
2021
Journal Mathematics Interdisciplinary Research
DOI
Researchers Amjad Alipanah ، Masoud Pendar ، Kaveh Sadeghi

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.