Jackson’s theorem in Q_p spaces  

作　　者：CHEN YingWei 1 & REN GuangBin 1, 2, 1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China 2 Department of Mathematics, University of Aveiro, P-3810-193 Aveiro, Portugal 

出　　处：《Science China Mathematics》2010年第2期367-372,共6页中国科学：数学（英文版）

基　　金：Supported by the Unidade de Investigao "Matemtica e Aplicaoes" of University of Aveiro, National Natural Science Foundation of China (Grant No. 10771201);New Century Excellent Talentsin University (Grant No. 05-0539)

摘　　要：A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 【 ∞, a 】 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute constant depending only on the parameter a.A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p < ∞, a > 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute constant depending only on the parameter a.

关 键 词：Q P space BMOA POLYNOMIAL approximation 

分 类 号：O177[理学—数学]