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Some Remarks on the Best Approximation Rate of Certain Trigonometric Series

Song-Ping Zhou, Rui-Jun Le

math.CAarXiv:math/0611366

Abstract

The main object of the present paper is to give a complete result regarding the best approximation rate of certain trigonometric series in general complex valued continuous function space under a new condition which gives an essential generalization to O-regularly varying quasimonotonicity. An application is present in Section 3.

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