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On the Problem of Describing Sequences of Best Trigonometric Rational Approximations

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Abstract

For a strictly decreasing sequence an ∞ n=0 of nonnegative real numbers converging to zero, we construct a continuous 2π-periodic function f such that RT n(f) = an, n=0,1,2,..., where RT n(f) are best approximations of the function f in uniform norm by trigonometric rational functions of degree at most n.

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  1. F. Skorina Gomel State University, Russia

    A. P. Starovoitov

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  1. A. P. Starovoitov
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Starovoitov, A.P. On the Problem of Describing Sequences of Best Trigonometric Rational Approximations. Mathematical Notes 69, 839–844 (2001). https://doi.org/10.1023/A:1010242801551

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