Results 181 to 190 of about 1,730 (224)
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On an optimal quadrature formula in the sense of Sard
Numerical Algorithms, 2010Let \(K_2 = \{\varphi:\,[0,1] \to \mathbb R\); \(\varphi'\) absolutely continuous and \(\varphi'' \in L_2(0,1)\}\) be the Hilbert space with the semi-norm \[ \|\varphi\| = \bigg(\int_0^1 (\varphi''(x) + 1)^2\,dx\bigg)^{1/2}. \] Then the quadrature formula \[ \int_0^1 \varphi(x)\, dx \approx \sum_{\nu =0}^N C_{\nu}\,\varphi(x_{\nu}) \] has the error ...
Abdullo Hayotov +1 more
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Optimal quadrature formula nonlinear estimators
Information Sciences, 1978Abstract This paper presents a method for the realization of nonlinear estimators based on an optimal quadrature approximation. The optimal quadrature formula is obtained by solving a set of nonlinear algebraic equations induced from a monospline subject to a set of interpolatory conditions.
A H Wang, R L Klein
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Error inequalities for an optimal quadrature formula
Journal of Applied Mathematics and Computing, 2007An optimal 3-point quadrature formula of closed type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known Simpson's rule. A corrected formula is also considered. Various error inequalities for these formulas are established. Applications in numerical integration are given.
Nenad Ujević
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An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals
Mathematical Methods in the Applied SciencesABSTRACT This article presents the derivation and analysis of an optimal quadrature formula for the numerical integration of fractional integrals in the Hilbert space . In this space, functions satisfy certain smoothness conditions.
Abdullo Hayotov, Samandar Babaev
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Optimal quadrature formula in space
Applied Numerical Mathematics, 2012Abdullo Hayotov
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Error inequalities for a quadrature formula and applications
Computers and Mathematics With Applications, 2004 An optimal two-point quadrature formula of open type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known two-point Gaus quadrature formula.
Ujević, N.
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Optimal quadrature problem on Hardy–Sobolev classes
Journal of Complexity, 2005 Let H r ∞,β denote those 2π-periodic, real-valued functions f on R, which are analytic in the strip Sβ: = {z ∈ C: |Im z | < β}, β> 0 and satisfy the restriction |f (r) (z) | ≤ 1, z ∈ Sβ. Denote by [x] the integral part of x.
Fang Gensun
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Optimal quadrature formulas of Euler–Maclaurin type
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kholmat Mahkambaevich Shadimetov +2 more
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Application of optimal quadrature formulas for reconstruction of CT images
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullo Rakhmonovich Hayotov +2 more
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