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Titlebook: Approximation and Computation: A Festschrift in Honor of Walter Gautschi; Proceedings of the P R. V. M. Zahar Conference proceedings 1994 S

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Sharp Bounds for the Lebesgue Constant in Quadratic Nodal Spline Interpolation,te, in the quadratic case . = 3, sharp upper and lower bounds for ∥.∥. The exact value ∥.∥ = 1.25 in the case of equidistant primary knots is then immediately derivable. Some implications of the results, as well as an application in quadrature, are pointed out and briefly discussed.
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Ergebnisse der Chirurgie und OrthopädieAs a consequence, we obtain that, among all extended Gaussian formulae whose additional nodes interlace with the Gaussian ones, the Gauss-Kronrod formula .. is asymptotically optimal with respect to ..
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,Altindische Lehren von den Knochenbrüchen,litz matrices. Here we use an analogy with predicting stationary stochastic processes to motivate a simple proof of this formula, as well as of the main facts in the classical trigonometric moment problem.
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Inequalities and Monotonicity Properties for Gamma and ,-Gamma Functions, without having complete monotonicity. All of the results lead to inequalities for these functions. Many of these were motivated by the bounds in a 1959 paper by Walter Gautschi. We show that some of the bounds can be extended to complex arguments.
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