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Gaussian quadrature formulas and Laguerre-Perron's equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hajji, Said El Touijrat, L. |
| Copyright Year | 2005 |
| Abstract | LetI(f) be the integral defined by:I(f) = ∫abf(x)w(x)dx withf a given function,w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value ofI(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme. |
| Starting Page | 205 |
| Ending Page | 228 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF02936566 |
| Volume Number | 18 |
| Alternate Webpage(s) | http://www.mathnet.or.kr/mathnet/kms_tex/982473.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/BF02936566 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |