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Quadrature Formulae

1970
A. Ghizzetti, A. Ossicini
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On Tchebycheff Quadrature Formulas

1988
Let ψ be a bounded nondecreasing function on [a,b] normed by \(\int\limits_a^b {d\psi (x) = 1}\). We say that the distribution dψ admits extended (m, n, dψ) Tchebycheff-quadrature (abbreviated T-q) on [a,b] if there are n nodes zj,n ∈ ℂ, zj,n. real or complex conjugate, such that $$ \int\limits_a^b {f(x)d\psi (x) = \frac{1}{n}\sum\limits_{j = 1}^n {
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Gaussian Quadrature Formulas

Mathematics of Computation, 1967
Y. L. L., A. H. Stroud, Don Secrest
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Robust design with arbitrary distributions using Gauss-type quadrature formula

Structural and Multidisciplinary Optimization, 2008
Won Dong Kim
exaly  

Several error inequalities for a quadrature formula with a parameter and applications

Computers and Mathematics With Applications, 2008
Wenjun Liu
exaly  

Remarks on Quadrature Formulas

Journal of the Society for Industrial and Applied Mathematics, 1963
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Weighted quadrature formulas

Siberian Mathematical Journal, 1979
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A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network

European Journal of Operational Research, 1999
Smt Fatemi Ghomi
exaly  

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 quadrature
Malozëmov, V. N., Pevnyj, A. B.
openaire   +2 more sources

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