Titlebook: Numerische Methoden der Approximationstheorie; Vortragsauszüge der L. Collatz,G. Meinardus,H. Werner Book 1978 Springer Basel AG 1978 Appr

受傷

,Tschebyscheff — Approximation mit Exponentialsummen mit Polynomialen Exponenten,perties of the family E., where mainly the connection between certain linear differential equations and E. leads to the existence of a best approximation. As E. doesn’t fullfill the Haar-condition, the uniqueness could only be verified for sum of exponentials with nonnegative coefficients. Neverthel

執(zhí)

Zur Anzahl der Interpolationspunkte polynomialer Tschebyscheff-Approximationen im Einheitskreis, the error function has at least n + 1 zeros on (a,b). In general no analogous result holds for the case of Tschebyscheff approximation to an analytic function on the disk S ? {z∣ ∣z∣ ≤ 1} in the complex plane. However Saff [4] exhibits a class of entire function with the property that for each n su

發(fā)炎

,über die Koeffizienten der Polynome Bester Approximation,. mit Unsicherheiten behaftet ist, weil diese Koeffizienten noch erheblich variieren k?nnen, wenn die Extrema von f — ba.[f] innerhalb der Rechengenauigkeit ausgeglichen sind. Es sollen daher hier einige Aussagen bewiesen werden, aus denen in einfachster Weise Schranken für die a. zu entnehmen sind.

GRACE

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Frenetic

切碎

Some approximations and algorithms for calculators and microcomputers,racy which is about as good — and sometimes even better — than the accuracy you get using a big computer, and at a speed which is an immense improvement on the slide rules and logarithm tables of just a few years ago. And equally important: at a price you can afford — at least after the next price r

deface

,Die Numerische Berechnung von Startn?herungen bei der Exponentialapproximation,culation of the roots of an algebraic polynomial. A series of numerical examples illuminates the applicability and the limits of the method, at the same time exposing some numerical peculiarities of approximation by exponentials.

Condescending

On Incomplete Polynomials,polynomials of the special form ., θ fixed with 0 < θ < 1, n arbitrary, n ≥ 0. Some convergence properties of sequences of such incomplete polynomials were studied by the authors [6], and by Kemperman and Lorentz [1]. In this present paper, we investigate the analog of the classical Chebyshev polyno

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Approximation und Transformationsmethoden,theory. In particular, the trigonometric interpolation, the “algebraic” interpolation and the cardinal logarithmic splines are considered. The investigation of the last example is based on an appropriate Abel-Tauber theorem.