受伤 发表于 2025-3-23 10:29:47

,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

发表于 2025-3-23 16:07:48

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 exhibits a class of entire function with the property that for each n su

发炎 发表于 2025-3-23 18:28:27

,Über die Koeffizienten der Polynome Bester Approximation,. mit Unsicherheiten behaftet ist, weil diese Koeffizienten noch erheblich variieren können, wenn die Extrema von f — ba. 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 发表于 2025-3-23 23:52:50

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供过于求 发表于 2025-3-24 03:56:21

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Frenetic 发表于 2025-3-24 10:22:26

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切碎 发表于 2025-3-24 14:25:22

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 发表于 2025-3-24 16:33:26

,Die Numerische Berechnung von Startnäherungen 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 发表于 2025-3-24 19:12:45

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 , and by Kemperman and Lorentz . In this present paper, we investigate the analog of the classical Chebyshev polyno

Feedback 发表于 2025-3-25 02:02:35

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