%0 Journal Article
%T Multivariate Weighted Modulus of Smoothness and Bernstein-Durrmeyer Operators in B_a Space<br>Ba空间中的多元加权光滑模与Bernstein Durrmeyer算子
%A DING Chun-Mei
%A CAO Fei-Long
%A <br>丁春梅
%A 曹飞龙
%J 数学物理学报(A辑)
%D 2005
%I 
%X In this paper, the authors introduce a new multivariate weighted modulus of smoothness in B-a space, which generalizes the Ditzian-Totik's modulus in L p space. The equivalence relationship between the modulus and certain K-functional is shown. As an application, the relationship between the multivariate Bernstein-Durrmeyer operators defined on the simplex and the modulus is discussed as well. Namely, with the modulus as a metric, the upper and lower bounds of degree of approximation by the operators are estimated in B-a space.
%K Ba space
%K Modulus of smoothness
%K Simplex
%K Bernstein-Durrmeyer operators<br>Ba空间
%K 光滑模
%K 单纯形
%K Bernstein-Durrmeyer算子
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=A570168DB03715D8&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=94C357A881DFC066&sid=821800203AD09E7B&eid=9BF3B0483F192149&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=17