Using the theory of s-orthogonality and reinterpreting it in terms of the standard orthogonal polynomials on the real line, we develop a method for constructing Gauss-Turfin-type quadrature formulae. The determination of nodes and weights is very stable. For finding all weights, our method uses an u
Construction of generalized Gauss-Turán quadrature rules for systems of arbitrary functions
✍ Scribed by M.A. Kovačević
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 621 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
In this paper, which is connected with the work of Ma, Rokhlin and Wandzura [1], a numerical scheme for the construction of generalized Gauss-Turin quadrature, replacing the polynomials with functions from a rather wide class, is presented. In a special case, this construction reduces itself to the construction of generalized Gauss quadrature rules given in [1]. The performance of the algorithm is illustrated with several numerical examples. (~) 2000 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
## Abstract We explicitly construct four infinite families of irreducible triple systems with Ramsey‐Turán density less than the Turán density. Two of our families generalize isolated examples of Sidorenko 14, and the first author and Rödl 12. Our constructions also yield two infinite families of i
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