Results 121 to 130 of about 169,552 (158)

Smooth Low Degree Approximations of Polyhedra

, 1994
Bajaj, Chandrajit L., Chen, Jindon, Xu, Guoliang   +2 more
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Degree of Simultaneous Coconvex Polynomial Approximation

Results in Mathematics, 1998
Let \(f\in C^1[-1,1]\) change its convexity \(s\)-times at the points \(y_j\in (-1,1)\) \((j-1, \dots,s)\). Then \(f\) is approximated by polynomials \(p_n\), which are coconvex with \(f\), i.e., \(p_n\) changes its convexity exactly at the same points \(y_j\) \((j=1, \dots,s)\).
Kopotun, K., Leviatan, D.
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Degree of Approximation by Rational Functions with Prescribed Numerator Degree

Canadian Journal of Mathematics, 1994
AbstractWe prove a Jackson type theorem for rational functions with prescribed numerator degree: For continuous functions f: [—1,1] —> ℝ with ℓ sign changes in (—1,1), there exists a real rational function Rℓ,n(x) with numerator degree ℓ and denominator degree at most n, that changes sign exactly where f does, and such thatHere C is independent of f,
Leviatan, D., Lubinsky, D. S.
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Degree of Approximation of Hölder Continuous Functions

Mathematische Nachrichten, 1989
Recently, the present reviewer and the present author [Approximation Theory Appl. 4, No.2, 49-54 (1988; Zbl 0673.42002)] have applied \((J,q_ n)\)-transform to determine the degree of approximation of functions \(f\in L_ p\quad (p\geq 1)\) in \(L_ p\)-norm.
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Low-degree approximation of high-degree B-spline surfaces

Engineering with Computers, 1993
In this paper, a method for approximate conversion of high degree Bezier and B-spline surfaces to lower degree representations is presented to facilitate the exchange of surface geometry between different geometric modeling systems. Building on previous work on curve approximation, the method uses adaptive sampling to compute approximation error and ...
S. T. Tuohy, L. Bardis
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Degree of approximation of analytic functions by “near the best” polynomial approximants

Constructive Approximation, 1993
Let \(K\) be a compact subset of the complex plane \(\mathbb{C}\) such that \(\mathbb{C} - K\) is connected. Given a function \(f \in A (K)\), let \(E_n (f) : = \inf \{|f - p_n |_K; \deg p_n \leq n\}\) be the error of the best uniform approximation to \(f\) by polynomials of degree at most \(n\). Following \textit{E. B. Saff} and \textit{V.
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Degree of Monotone Approximation

1974
We are interested in approximating monotone functions by monotone polynomials. Denote by ∏n, the space of algebraic polynomials of degree ≤ n, and by ∏*n, the set of those polynomials in ∏n which are monotone non-decreasing on the interval [−1,1].
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Approximation of Higher Degree

2016
The m wedge basis functions for a polycon of order m and products of these functions may be used to fit discrete data on polycon sides while maintaining continuity across polycon boundaries. The side between vertices i and i + 1 in Fig. 6.1 is a conic boundary component with side node p.
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Degree of $L_p$ Approximation by Monotone Splines

SIAM Journal on Mathematical Analysis, 1980
Using elementary techniques, we obtain Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots in $L_p [0,1],\, 1 \leqq p \leqq \infty $. Our method, which works for all p, is different from that of De Vore.
Chui, C. K., Smith, P. W., Ward, J. D.
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On Estimating Approximate Degrees of Freedom

The American Statistician, 1991
Abstract Inference in linear models with multiple random effects is often complicated by variance estimators with distributions that are not exact multiples of chi-squared variates. Using a result attributed to Satterthwaite, one can approximate these estimators to a chi-square with appropriate degrees of freedom. These degrees of freedom, which can be
Michael H. Ames, John T. Webster
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