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Quadrature rules from a RII type recurrence relation and associated quadrature rules on the unit circle [PDF]
Numerical Algorithms, 2019 32 ...
Cleonice F Bracciali, A Sri Ranga
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Generalized Ostrowski inequalities and computational integration
Journal of Numerical Analysis and Approximation Theory, 2020 We state and prove three generalized results related to Ostrowski inequality by using differentiable functions which are bounded, bounded below only and bounded above only, respectively.
Nazia Irshad +2 more
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Anti-Szego quadrature rules [PDF]
Mathematics of Computation, 2006 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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Rational averaged gauss quadrature rules [PDF]
Filomat, 2020 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 Appel-Type Quadrature Rules [PDF]
gmj, 2002 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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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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Quadrature Rules for the Fm-Transform Polynomial Components
Axioms, 2022 The purpose of this paper is to reduce the complexity of computing the components of the integral Fm-transform, m≥0, whose analytic expressions include definite integrals.
Irina Perfilieva, Tam Pham, Petr Ferbas
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An application of Hayashi's inequality in numerical integration
Open Mathematics, 2023 This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem +4 more
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On the Remainder in Quadrature Rules [PDF]
Mathematics of Computation, 1971 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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On some quadrature rules with Gregory end corrections [PDF]
Opuscula Mathematica, 2009 How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum \(
Bogusław Bożek +2 more
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