New quadrature formulas (QFs) for evaluating the singular integral (SI) of Cauchy type with unbounded weight function on the edges is constructed. The construction of the QFs is based on the modification of discrete vortices method (MMDV) and linear spline interpolation over the finite interval [-1,
Optimal quadrature formula of Markov's and Locher's type with weight function
β Scribed by Moshe Levin
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 216 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
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
## Abstract In this paper we deal with compact embeddings of weighted function spaces of Besov and TriebelβLizorkin type with weights of logarithmic growth near infinity. We obtain the exact estimates for the asymptotic behaviour of Gelfand, Kolmogorov and Weyl numbers of the embeddings. As an appl