Original Articles

NTH ROOT ASYMPTOTICS FOR EXTREMAL ERRORS ASSOCIATED WITH SLOWLY DECREASING WEIGHTS

Published in: Quaestiones Mathematicae
Volume 14 , issue 3 , 1991 , pages: 337–354

DOI: 10.1080/16073606.1991.9631651

Author(s): K.A. Driver Department of Mathematics, South Africa

Keywords: Primary 42 C05 Secondary 30E10 , 41A17 , Primary 42 C05 Secondary 30E10 , 41A17

Abstract

Let W(x) = e^-Q(z) where Q(x) is even, continuous on ℝ and of slower than polynomial growth at infinity. We establish, under certain conditions on Q, nth root asymptotics for the extremal error associated with W, E _np(W), 0 < p ≤ ∞ where

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