Results 11 to 20 of about 884,568 (273)
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Hickernell, Fred J.
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Double inequalities of Newton's quadrature rule [PDF]
In this paper double inequalities of Newton's quadrature rule are given.
Marius Heljiu
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An efficient quadrature rule on the Cubed Sphere
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Brice Portelenelle +1 more
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Lobatto Type Quadrature Rules for Functions with Bounded Derivative [PDF]
Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured
Cerone, Pietro, Dragomir, Sever S
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Numerical quadrature methods for singular and nearly singular integrals [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
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Anti-Szego quadrature rules [PDF]
The authors purpose a new class of discretization methods for approximating integrals on an interval of \(2\pi\)-length. The integrand contains a periodic function and the derivative of a measure function. The purposed discretization methods are called anti-Szegő quadrature rules.
Sun-Mi Kim, Lothar Reichel
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On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative [PDF]
Inequalities are obtained for weighted integrals in terms of bounds involving the first derivative of the function. Quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case when the ...
Cerone, Pietro, Dragomir, Sever S
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On Appel-Type Quadrature Rules [PDF]
Abstract The Radon technique is applied in order to recover a quadrature rule based on Appel polynomials and the so called Appel numbers. The relevant formula generalizes both the Euler-MacLaurin quadrature rule and a similar rule using Euler (instead of Bernoulli) numbers and even (instead of odd) derivatives of the given function at ...
BELINGERI, Carlo, GERMANO, Bruna
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Rational averaged gauss quadrature rules [PDF]
It is important to be able to estimate the quadrature error in Gauss rules. Several approaches have been developed, including the evaluation of associated Gauss-Kronrod rules (if they exist), or the associated averaged Gauss and generalized averaged Gauss rules.
Lothar Reichel +2 more
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On the Remainder in Quadrature Rules [PDF]
An expression is obtained for the remainder in quadrature rules applied to functions whose Hubert transforms exist. The estimation of the remainder is illustrated by means of a particular example.
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