A lethargy result for real analytic functions
نویسندگان
چکیده
منابع مشابه
A lethargy result for real analytic functions
We prove that, if (C[a, b], {An}) is an approximation scheme and (An) satisfies de La Vallée-Poussin Theorem, there are instances of continuous functions on [a, b], real analytic on (a, b], which are “poorly approximable” by the elements of {An}. This illustrates the thesis that the smoothness conditions guaranteeing that a function is “well approximable” must be “global”. The failure of smooth...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2012
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.11.019