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Estimate of the remainder term in an integral limit theorem
Lithuanian Mathematical Journal, 1974exaly +3 more sources
Nonuniform estimate of the remainder term in the integral limit theorem
Lithuanian Mathematical Journal, 1974exaly +3 more sources
The remainder term in Adams'integration formula
USSR Computational Mathematics and Mathematical Physics, 1963Summary:
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Matrix computation of subresultant polynomial remainder sequences in integral domains
Reliable Computing, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alkiviadis G. Akritas +2 more
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The remainder term for analytic functions of Gauss-Lobatto quadratures
For analytic functions the remainder term of Gauss-Lobatto quadrature rules can be represented as a contour integral with a complex kernel. In this paper the kernel is studied on elliptic contours for the Chebyshev weight functions of the second, third ...
Schira, Thomas
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Remainder Terms in Numerical Integration Formulas of the Sphere
1982The purpose of the present paper is the study of formulas for numerical computation of integrals over the (unit) sphere. The theory of Green’s functions on the sphere with respect to the (Laplace-)Beltrami-operator is the main tool. General cubature formulas are considered. Estimates of the truncation error are given.
Willi Freeden, Richard Reuter
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For analytic functions the remainder term of quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel, on elliptic contours with foci at the points -/+ 1 and a sum of semi-axes rho > 1, for Gauss-Radau ...
Miodrag M Spalević
exaly +2 more sources
Approximating Csiszár f-divergence by the use of Taylor's formula with integral remainder
Mathematical Inequalities & Applications, 2002Csiszár \(f\)-divergence is defined by \[ D_f(p,q):= \int_\Gamma p(x)f\Biggl[{q(x)\over p(x)}\Biggr] d\mu(x),\quad p,q\in\Omega, \] where \(f\) is convex on \((0,\infty)\), a set \(\Gamma\) and the \(\sigma\)-finite measure \(\mu\) are given and \(\Omega\) is the set of all probability densities on \(\mu\); that is \[ \Omega:= \Biggl\{p\mid p:\Gamma\to
Barnett, N. S. +3 more
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Multi Nodalset Fluctuation Free Integration in Taylor Remainder’s Evaluation
AIP Conference Proceedings, 2010The matrix representation of a univariate function is equal to the image of the independent variable matrix representation under that function at the no fluctuation limit. In recent studies of BEBBYT group this fact is extended in such a way that the matrix representation of a univariate function can be expressed as a linear combination of the same ...
Ercan Gürvit +5 more
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