Results 11 to 20 of about 113 (109)

Osculatory and Hyperosculatory Cubature Formulas [PDF]

Mathematics of Computation, 1977
Osculatory and hyperosculatory cubature formulas for a rectangular region, employing the function with either first, or first and second partial derivatives, were obtained together with dominant remainder terms involving higher derivatives at one point, providing exact accuracy through the fifth (seventh) degree without (with) remainders.
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An Ostrowski type inequality for double integrals in terms of \(L_p\)-norms and applications in numerical integration

Journal of Numerical Analysis and Approximation Theory, 2003
An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.
S.S. Dragomir, N.S. Barnett, P. Cerone
doaj   +2 more sources

An encyclopaedia of cubature formulas

Journal of Complexity, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal monosplines in \(L_2\) and optimal cubature formulae

Journal of Numerical Analysis and Approximation Theory, 1978
Not available.
Gh. Coman
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Error estimates for certain cubature formulae [PDF]

Filomat, 2018
We estimate the errors of selected cubature formulae constructed by the product of Gauss quadrature rules. The cases of multiple and (hyper-)surface integrals over n-dimensional cube, simplex, sphere and ball are considered. The error estimates are obtained as the absolute value of the difference between cubature formula constructed by the ...
Davorka Jandrlic, Miodrag Spalevic, Jelena Tomanovic   +2 more
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An algebraic cubature formula on curvilinear polygons [PDF]

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SANTIN, GABRIELE, SOMMARIVA, ALVISE, VIANELLO, MARCO   +2 more
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Modified Trapezoidal Product Cubature Rules: Definiteness, Monotonicity, and a Posteriori Error Estimates

Mathematics
We study two modifications of the trapezoidal product cubature formulae, approximating double integrals over the square domain [a,b]2=[a,b]×[a,b]. Our modified cubature formulae use mixed type data: except evaluations of the integrand on the points ...
Geno Nikolov, Petar Nikolov
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The existence of Gaussian cubature formulas

Journal of Approximation Theory, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments

Statistica Neerlandica, Volume 80, Issue 2, May 2026.
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley   +1 more source

On optimization of cubature formulae for Sobolev classes of functions defined on star domains

Математичні Студії
We find asymptotically optimal methods of recovery of the integration operator given values of the function at a finite number of points for a class of multivariate functions defined on a bounded star domain that have bounded in $L_p$ norm of their ...
O. V. Kovalenko
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