Results 21 to 30 of about 217,218 (245)
On semicardinal quadrature formulae [PDF]
Mathematics of Computation, 1974 The present paper concerns the semicardinal quadrature formulae introduced in Part III of the reference [3]. These were the limiting forms of Sard’s best quadrature formulae as the number of nodes increases indefinitely. Here we give a new derivation and characterization of these formulae.
Schoenberg, I. J., Silliman, S. D.
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Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula
Mathematics, 2022 As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
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Results in Applied Mathematics, 2022 This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations.
Kholmat M. Shadimetov +1 more
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Euler-Maclaurin type optimal formulas for numerical integration in Sobolev space
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 In the present paper the problem of construction of optimal quadrature formulas in the sense of Sard in the space L2(m)(0,1) is considered. Here the quadrature sum consists of values of the integrand at nodes and values of the first and the third ...
Hayotov, A.R. +3 more
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On approximation of two-dimensional potential and singular operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane.
Charyyar Ashyralyyev, Sedanur Efe
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
Kuwait Journal of Science, 2021 Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type with respect to the even weight function $\omega^{\lambda}(t;x)=\exp(-x t^2)(1-t^2)^{\lambda-1/2}$ on $(-1,1)$, with parameters $\lambda>-1/2$ and $x>0$, are considered.
Gradimir Milovanovic, Nevena Vasovic ́
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Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]
, 2002 23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo +11 more
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Approximate methods for calculating hypersingular integrals
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Hypersingular integrals are now finding more and more fields of application – aerodynamics, elasticity theory, electrodynamics and geophysics.
I.V. Boykov, P.V. Aykashev
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A certain class of quadratures with even Tchebychev weights
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even) Tchebychev weight function.
Udovičić Zlatko, Udovičić Mirna
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