Abstract
Sweldens and Piessens [23] gave the crucial relationship between the first and the second scaling moment in order to derive an effective one-point quadrature formula to reproduce polynomials up to degree 2. Finěk [6] derived quadrature formulas with exactness for polynomials of degree 3 with the use of scaling functions of the Daubechies wavelets. In this paper, some relations between the moments of the scaling function associated with multiresolution analysis are derived and a one point quadrature formula with degree of precision 4 is constructed which helps in the approximation of a function (Formula presented.) in (Formula presented.).
| Original language | English |
|---|---|
| Pages (from-to) | 123-131 |
| Number of pages | 9 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 42 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- MRA
- Wavelets
- moments
- scaling function
ASJC Scopus subject areas
- Control and Optimization
- Analysis
- Signal Processing
- Computer Science Applications