On the Extremal Properties of Open Composite Trapezoidal Formulae

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Abstract

It is found that the open composite trapezoidal formulae are the best quadrature formulae under three different senses.

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Open composite trapezoidal formula Hölder classes Sobolev classes Best quadrature Exact estimate Iyengar inequality Lagrange information.
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On the Extremal Properties of Open Composite Trapezoidal Formulae. (2005). Journal of Computational Mathematics, 23(2), 205-210. https://gsp.tricubic.dev/JCM/article/view/11701