FPM 1998, vol. 4, no. 4, pp. 1423-1426

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

On the best local nonglobal rational approximation in the space $H$ ₂

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 $1/√(2)$ gives the best local nonglobal approximation in the set of all rational functions of $(k,1)$ degree.

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On the best local nonglobal rational approximation in the space H2

On the best local nonglobal rational approximation in the space $H$ ₂