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On Quadrature Formulae Near Gaussian Quadrature
1992In this paper, for product integration on the finite interval [a, b], we consider the class of n-point quadrature formulae Q n of at least algebraic degree 2n – 3. We study a new approach for their characterization using the simple fact that such a quadrature formula is uniquely determined by one node y and its associated weight b. For a given node y ∈
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Minimal Quadrature Formulae as Dual Gauss-Type-Quadratures
1985Minimal quadrature formulae are considered for the Hilbert space \(H_ 2^ R\) consisting of functions which are analytical on the open disc with radius R and centre at the origin; the inner product is the area integral over the disc. In this paper, such formulae are characterized as dual quadrature formulae of Gaussian type by generalizing Markoff's ...
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Discontinuous splines and quadrature formulae
A new definition of multiplicity for a null interval of the discontinuous spline is given and an estimate for the number of zeros and null intervals, taken with multiplicities, is obtained. On this basis it is proved that the quadrature formula with n simple knots optimal on the class \(W_ 1^{r+1}M\) is a unique optimal one among the general quadratureMalozëmov, V. N., Pevnyj, A. B.
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Remarks on Quadrature Formulas
Journal of the Society for Industrial and Applied Mathematics, 1963openaire +1 more source
A Class of Optimal Quadrature Formulae
IMA Journal of Numerical Analysis, 1983Raina, B. L., Kaul, N.
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The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
Applied Mathematics and Computation, 2020Miodrag M. Spalevic
exaly
Quadrature formulae of Gauss type based on Euler identities
Mathematical and Computer Modelling, 2007Josip Pečarić, I Perić
exaly
Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type, II
Journal of Computational and Applied Mathematics, 1990Sotirios Notaris
exaly

