A Probabilistic Theory for Error Estimation in Automatic Integration.
A quadrature formula of rational type for integrands with one endpoint singularity.
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
A Sinc Quadrature Rule for Hadamard Finite-part Integrals.
About Fejér's sum.
About some properties of intermediate point in certain mean-value formulas.
Adaptive methods of numerical quadrature [Abstract of thesis]
Algorithms 73-76. Four algorithms for evaluation of improper integrals
An Analysis of Ralston's Quadrature.
An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2)
An error expansion for cubature with an integrand with homogeneous boundary singularities.
An Implementation of the Method of Ermakov and Zolotukhin for Multidimensional Integration and Interpolation.
An inequality of Ostrowski type via Pompeiu's mean value theorem.
An integral approximation in three variables.
An integral inequality for convex functions and applications in numerical integration.
An intermediate point property in the quadrature formulas of type Gauss.
An optimal 3-point quadrature formula of closed type and error bounds.
An unusual way of solving linear systems
Mediante integrali multipli agevoli per il calcolo numerico vengono espressi il valore assoluto di un determinante qualsiasi e le formule di Cramer.
«Approximate approximations» and the cubature of potentials
The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.
Approximate properties of the de la Vallée Poussin means for the discrete Fourier-Jacobi sums.