On the Jackson type inequality in the dyadic BMO space

I. P. Irodova

P. G. Demidov Yaroslavl State University

Abstract: In this paper the direct theorem of the approximation theory for functions from the dyadic Besov space is proved. Together with the inverse theorem, it allows to solve an interpolation problem between dyadic $BMO$ and the dyadic Besov space.

Keywords: Jackson inequality, dyadic $BMO$, approximation, interpolation.

UDC: 517.51

Received: 31.07.2009

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