The Markoff-Duffin-Schaeffer inequalities abstracted
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چکیده
منابع مشابه
The Markoff-Duffin-Schaeffer inequalities abstracted.
The kth Markoff-Duffin-Schaeffer inequality provides a bound for the maximum, over the interval -1 </= x </= 1, of the kth derivative of a normalized polynomial of degree n. The bound is the corresponding maximum of the Chebyshev polynomial of degree n, T = cos(n cos(-1)x). The requisite normalization is over the values of the polynomial at the n + 1 points where T achieves its extremal values....
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1985
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.82.4.955