ON WEIGHTED L^p INTEGRABILITY AND APPROXIMATION OF TRIGONOMETRIC SERIES  

作　　者：Baorong Wei and Dansheng Yu Department of Mathematics Hangzhou Normal University Hangzhou, 310036P. R. China Department of Mathematics Hangzhou Normal University Hangzhou, 310036 P. R. China and Department of Mathematics Statistics and Computer Sciences St Franics Xaiver University Antigonish, Nova ScotiaCanada B2G 2w5 

出　　处：《Analysis in Theory and Applications》2009年第1期40-54,共15页分析理论与应用（英文刊）

基　　金：Supported in part by Hangzhou Normal University

摘　　要：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.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.

关 键 词：weighted Lp integrability best approximation modulus of continuity 

分 类 号：O174.21[理学—数学]