Results 81 to 90 of about 2,749,932 (104)

An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals

Mathematical Methods in the Applied Sciences
ABSTRACT 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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THE EXISTENCE OF OPTIMAL QUADRATURE FORMULAS WITH GIVEN MULTIPLICITIES OF NODES

Mathematics of the USSR-Sbornik, 1978
Suppose that is the error of the best method of integration in the class with nodes of multiplicities , i.e. . It is then shown that for and for every system of multiplicities with for , the lower bound is attained for some nodes with exactly the multiplicities . Moreover, and .Bibliography: 20 titles.
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A Class of Optimal Quadrature Formulae

IMA Journal of Numerical Analysis, 1983
Raina, B. L., Kaul, N.
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Optimal Quadrature Formulae for Periodic Functions

1974
We consider \( {\tilde H_\beta }: = \left\{ {f\left| {2\pi - } \right.} \right. \) periodic, holomorphic in a strip of width 2β, real on ℝ with \( {\left| f \right|_\beta }: = \mathop {\sup }\limits_{\left| y \right| < \beta } \left| {\operatorname{Re} f\left( {x + iy} \right)} \right| < \infty \} \) and \( \tilde H_\beta ^1 = \left\{ {f \in {{\tilde H}
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ON BEST AND OPTIMAL QUADRATURE FORMULAS ON CLASSES OF BOUNDED ANALYTIC FUNCTIONS

Mathematics of the USSR-Izvestiya, 1989
See the review in Zbl 0647.30033.
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Optimal Quadrature Formulas for Oscillatory Integrals in the Sobolev Space

Journal of Inequalities and Applications, 2022
Bakhromjon Bozarov, Abdullo Hayotov
exaly  

Optimal quadrature formula in space

Applied Numerical Mathematics, 2012
Kh.M. Shadimetov, A.R. Hayotov, S.S. Azamov   +2 more
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An optimal quadrature formula of closed type

Yokohama mathematical journal, 2003
An optimal 3-point quadrature formula of closed type is derived. The optimality is considered with respect to a given way of estimation of its error.
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Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

Lobachevskii Journal of Mathematics, 2022
exaly  

Optimal Quadrature Formulas in the Sense of Sard in W₂^((m,m-1)) Space

Calcolo, 2014
Abdullo Hayotov, Kholmat M Shadimetov
exaly