Mean convergence of approximation to a function by general finite sums
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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Article history: Received 15 May 2009 Accepted 15 August 2009 Available online 2 September 2009 Communicated by Ginette Saracco
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1973
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/410191