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In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.

Estimation of the error for two-point formula via pre-Grüss inequality.

Pečarić, J., Vukelić, A. (2006)

General Mathematics

Exemples de formules de quadrature numérique à nombre minimal de noeuds sur des domaines à double symétrie axiale

J. L. Gout, A. Guessab (1986)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Exit criteria and monotonicity in compound quadrature of Gaussian type.

Klaus-Jürgen Förster (1993/1994)

Numerische Mathematik

Extensions of linear operators from hyperplanes of $l_{\infty}^{(n)}$

Marco Baronti, Vito Fragnelli, Grzegorz Lewicki (1995)

Commentationes Mathematicae Universitatis Carolinae

Let $Y \subset l_{\infty}^{(n)}$ be a hyperplane and let $A \in ℒ (Y)$ be given. Denote $\begin{matrix} 𝒜 = & {L \in ℒ (l_{\infty}^{(n)}, Y) : L ∣ Y = A} and & λ_{A} = inf {∥ L ∥ : L \in 𝒜} . \end{matrix}$ In this paper the problem of calculating of the constant $λ_{A}$ is studied. We present a complete characterization of those $A \in ℒ (Y)$ for which $λ_{A} = ∥ A ∥$ . Next we consider the case $λ_{A} > ∥ A ∥$ . Finally some computer examples will be presented.

Extremal problems with polynomials.

Acu, Ana Maria, Acu, Mugur, Rafiq, Arif (2008)

General Mathematics

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