منابع مشابه
Best 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.
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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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Introduction PACT Abstract A new method for the approximation of a special class of functions that are repre-sentable by absolute convergent Walsh series by means of Walsh polynomials in a base b is introduced. In contrast to the classical case of the Discrete Walsh Transform which soon becomes intractable when the dimension increases, this approach uses number theoretic integration methods for...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1963
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243865