منابع مشابه
Best one-sided approximation of polynomials under L1 norm
In this paper, we develop an analytic solution for the best one-sided approximation of polynomials under L1 norm, that is, we 0nd two polynomials with lower degree which bound the given polynomial such that the areas between the bounding polynomials and the given polynomial attain minimum. The key ingredient of our technique is a characterization for one-sided approximations based on orthogonal...
متن کاملBest approximation by closed unit balls
We obtain a sucint and nesessery theoreoms simple for compactness andweakly compactness of the best approximate sets by closed unit balls. Also weconsider relations Kadec-Klee property and shur property with this objects.These theorems are extend of papers mohebi and Narayana.
متن کاملSome Notes on the Best One-sided Approximation of Polynomials under L1 Norm
In the paper we review some known results about the one-sided approximation of polynomials with lower-degree polynomials under L1 norm. Then based on these results, the approximation error is formulated. Some properties are also stated for the general cases. The approximation can be used in the degree reduction of interval polynomials and interval Bézier curves.
متن کاملOn Polynomials of Best One Sided Approximation
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متن کاملBehavior of Polynomials of Best Uniform Approximation
We investigate the asymptotic behavior of the polynomials {Pn(f)}'t' of best uniform approximation to a function f that is continuous on a compact set K of the complex plane C and analytic in the interior of K, where K has connected complement. For example, we show that for "most" functions f, the error f -Pn(f) does not decrease faster at interior points of K than on K itself. We also describe...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1990
ISSN: 0021-9045
DOI: 10.1016/0021-9045(90)90120-f