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On Tchebycheff Quadrature Formulas
1988Let 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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Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions
Lobachevskii Journal of Mathematics, 2023exaly
Robust design with arbitrary distributions using Gauss-type quadrature formula
Structural and Multidisciplinary Optimization, 2008Won Dong Kim
exaly
Several error inequalities for a quadrature formula with a parameter and applications
Computers and Mathematics With Applications, 2008Wenjun Liu
exaly
Remarks on Quadrature Formulas
Journal of the Society for Industrial and Applied Mathematics, 1963openaire +1 more source
A new analytical algorithm and generation of Gaussian quadrature formula for stochastic network
European Journal of Operational Research, 1999Smt 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 quadratureMalozëmov, V. N., Pevnyj, A. B.
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