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Remark on a Problem of Rational Approximation |
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| Authors: | Starovoitov A P |
| Institution: | (1) Byelorussian State University, Belarus |
| Abstract: | We show that for any nonincreasing number sequence {a
n}
n= 0
converging to zero, there exists a continuous 2 -periodic function g such that the sequence of its best uniform trigonometric rational approximations {R
n
(g,C
2)}
n= 0
and the sequence {a
n}
n= 0
have the same order of decay. |
| Keywords: | best trigonometric rational approximation nonincreasing number sequence efficient solution in the sense of Bernshtein Banach space uniform norm |
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