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A note on a family of quadrature formulas and some applications [PDF]

open access: yesOpuscula Mathematica, 2008
In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek   +2 more
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Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications

open access: yesAlgorithms
The optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
doaj   +1 more source

The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

open access: yesJournal of Inequalities and Applications
The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog D m ( h β ) $D_{m}(h\beta )$ of the differential operator d 2 m d x 2 ...
K. M. Shadimetov, J. R. Davronov
doaj   +1 more source

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