Name
Abstract | ||
|---|---|---|
In this paper, we develop the theory of so-called nonstandard Gaussian quadrature formulae based on operator values for a
general family of linear operators, acting of the space of algebraic polynomials, such that the degrees of polynomials are
preserved. Also, we propose a stable numerical algorithm for constructing such quadrature formulae. In particular, for some
special classes of linear operators we obtain interesting explicit results connected with theory of orthogonal polynomials. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10444-009-9114-y | Adv. Comput. Math. |
Keywords | Field | DocType |
Gaussian quadrature,Interval quadrature,Linear operator,Zeros,Weight,Measure,Degree of exactness,Orthogonal polynomial,Linear functional,41A55,33C45,33D45,65D30,65D32 | Gauss–Kronrod quadrature formula,Mathematical optimization,Orthogonal polynomials,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Gauss–Hermite quadrature,Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics,Gauss–Laguerre quadrature | Journal |
Volume | Issue | ISSN |
32 | 4 | 1019-7168 |
Citations | PageRank | References |
2 | 0.52 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gradimir V. Milovanovic | 1 | 27 | 9.33 |
| Aleksandar S. Cvetkovic | 2 | 8 | 3.55 |