FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1423-1426

M. A. Nazarenko

Abstract

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```
For any natural number
```$k$ the function from the Hardy space $H_2$
is found that its rational approximation of $(k,1)$ degree
with pole in $1/\sqrt{2}$
gives the best local nonglobal approximation in the set of all rational
functions of $(k,1)$ degree.

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