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On weighted L p integrability and approximation of trigonometric series |
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| Authors: | Baorong Wei Dansheng Yu |
| Affiliation: | (1) Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, P. R. China;(2) Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, P. R. China;(3) Department of Mathematics Statistics and Computer Sciences, St Franics Xaiver University, Antigonish, Nova Scotia, Canada, 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. Supported in part by Hangzhou Normal University. |
| Keywords: | weighted Lp integrability best approximation modulus of continuity |
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