Some Remarks on the Best Approximation Rate of Certain Trigonometric Series

Details Some Remarks on the Best Approximation Rate of Certain Trigonometric Series Some Remarks on the Best Approximation Rate of Certain Trigonometric Series

2006-11-13

arxiv.org/abs/math/0611366v1

Acta Math. Sinica 49(2006), 509-518. In Chinese

Mathematics

Classical Analysis and ODEs

14 pages

Scientific paper

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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