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ON WEIGHTED L~p INTEGRABILITY AND APPROXIMATION OF TRIGONOMETRIC SERIES |
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| Authors: | Baorong Wei Dansheng Yu |
| Institution: | Baorong Wei , Dansheng Yu Department of Mathematics Hangzhou Normal University Hangzhou,310036P. R. China Department of Mathematics Hangzhou Normal University Hangzhou,310036 P. R. China , Department of Mathematics Statistics , Computer Sciences St Franics Xaiver University Antigonish,Nova ScotiaCanada B2G 2w5 |
| Abstract: | We generalize several classical results on the integrability of trigonometric series and relations among the best approximation and the coefficients of trigonometric series. Theorem 3 and Theorem 4 are the first results on the relations among the weighted best approximation and the coefficients of trigonometric series. |
| Keywords: | weighted Lp integrability best approximation modulus of continuity |
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