Approximation by bounded analytic functions: Uniform convergence as implied by mean convergence
نویسندگان
چکیده
منابع مشابه
Approximation by Bounded Analytic Functions: Uniform Convergence as Implied by Mean Convergence^) By
In three recent notes [1], [2], [3] I have discussed uniform convergence by polynomials (in the complex variable) to a given function as a consequence of convergence in the mean of those polynomials to the given function, and also convergence in the mean of one order as a consequence of convergence in the mean of a lower order. The present note contains analogs of those results, but now for app...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1968
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1968-0220945-1