Results 11 to 20 of about 62 (61)
Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.
Alomari Mohammad W., Guessab Allal
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Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature [PDF]
, 2004 17 pages, no figures.-- MSC1991 codes: Primary: 42C05, 41A20, 65D32; Secondary: 30E10.MR#: MR2036643 (2004m:33021)Zbl#: Zbl 1056.42017Generalized Stieltjes polynomials are introduced and their asymptotic properties outside the support of the measure are ...
López Lagomasino, Guillermo +5 more
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Cubature Rules of Prescribed Merit [PDF]
, 1996 We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for the hypercube: this is the merit of a rule, which is closely related to its trigonometric degree, and which reduces to the Zaremba figure of merit in the ...
Lyness, J. N. +3 more
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Convergence and computation of simultaneous rational quadrature formulas [PDF]
, 2007 22 pages, no figures.-- MSC2000 codes: Primary 41A55. Secondary 41A28, 65D32.MR#: MR2286008 (2008a:65049)Zbl#: Zbl 1168.65326We discuss the convergence and numerical evaluation of simultaneous quadrature formulas which are exact for rational functions ...
López Lagomasino, Guillermo +5 more
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Stieltjes-type polynomials on the unit circle [PDF]
, 2009 29 pages, no figures.-- MSC2000 codes: Primary 65D32, 42A10, 42C05; Secondary 30E20.MR#: MR2476567Stieltjes-type polynomials corresponding to measures supported on the unit circle T are introduced and their asymptotic properties away from T are studied ...
López Lagomasino, Guillermo +2 more
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Adaptive Integration of Convex Functions of One Real Variable
Annales Mathematicae SilesianaeWe present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.
Wąsowicz Szymon
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On the unbounded divergence of interpolatory product quadrature rules on Jacobi nodes
, 2015 This paper is devoted to prove the unbounded divergence on superdense sets, with respect to product quadrature formulas of interpolatory type on Jacobi nodes.
MITREA, Alexandru I.
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This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan +1 more
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Multiple Orthogonal Polynomials on the Semicircle and Corresponding Quadratures of Gaussian Type
, 2004 In this paper multiple orthogonal polynomials defined using orthogonality conditions spread out over r different measures are considered. We study multiple orthogonal polynomials on the real line, as well as on the semicircle (complex polynomials ...
Gradimir V Milovanović, Marija Stanić
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, 2016 . The aim of this paper is to highlight the superdense unbounded divergence of a class of product quadrature formulas of interpolatory type on Jacobi nodes, associated to the Banach space of all real continuous functions defined on [-1; 1], and to a ...
MITREA, Alexandru I.
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