Results 1 to 10 of about 57 (57)
t-Design Curves and Mobile Sampling on the Sphere
Forum of Mathematics, Sigma, 2023 In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates polynomials of degree t exactly.
Martin Ehler, Karlheinz Gröchenig
doaj +1 more source
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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About a dubious proof of a correct result about closed Newton Cotes error formulas
Open Mathematics, 2023 In this study, we comment about a wrong proof, at least incomplete, of the closed Newton Cotes error formulas for integration in a closed interval [a,b].\left[a,b].
López David J. +4 more
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Multiplicity theorems involving functions with non-convex range
, 2023 Here is a sample of the results proved in this paper. Mathematics Subject Classification (2010): 49J35, 34B10, 41A50, 41A55, 90C26. Received 03 May 2022; Revised 09 September 2022. Published Online: 2023-03-20.
RICCERI, Biagio, Biagio Ricceri
core +1 more source
Perturbations of an Ostrowski type inequality and applications
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 491-500, 2002., 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
Nenad Ujević
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 567-587, 1983., 1983 A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two‐dimensional Cauchy-type principal‐value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types. For the construction of such a cubature formula the 2‐D singular integral is considered as an iterated one,
P. S. Theocaris
wiley +1 more source
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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Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
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On the convergence of quadrature formulas connected with multipoint Padé-type approximants [PDF]
, 1996 29 pages, no figures.-- MSC2000 codes: 41A55, 41A21.MR#: MR1408352 (97e:41066)Zbl#: Zbl 0856.41027^aLet $I(F)= \int^1_{- 1} F(x)\omega(x) dx$, where $\omega$ is a complex valued integrable function.
López Lagomasino, Guillermo +7 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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