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执 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
http://reply.papertrans.cn/67/6694/669387/669387_14.png供过于求 发表于 2025-3-24 03:56:21
http://reply.papertrans.cn/67/6694/669387/669387_15.pngFrenetic 发表于 2025-3-24 10:22:26
http://reply.papertrans.cn/67/6694/669387/669387_16.png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 rdeface 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 polynoFeedback 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.