Inequalities for a class of multivariate operators

doi:10.1186/1029-242X-2012-175

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	Inequalities for a class of multivariate operators
	Zhao,Jianwei
	2012-08-07
发表期刊	Journal of Inequalities and Applications
ISSN	1029-242X
卷号	2012 期号:1
摘要	AbstractThis paper introduces and studies a class of generalized multivariate Bernstein operators defined on the simplex. By means of the modulus of continuity and so-called Ditzian-Totik’s modulus of function, the direct and inverse inequalities for the operators approximating multivariate continuous functions are simultaneously established. From these inequalities, the characterization of approximation of the operators follows. The obtained results include the corresponding ones of the classical Bernstein operators.MSC:41A25, 41A36, 41A60, 41A63.
关键词	generalized Bernstein operators direct and inverse inequalities characterization of approximation
DOI	10.1186/1029-242X-2012-175
语种	英语
WOS记录号	BMC:10.1186/1029-242X-2012-175
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/285
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao,Jianwei
作者单位	China Jiliang University; Department of Mathematics
推荐引用方式 GB/T 7714	Zhao,Jianwei. Inequalities for a class of multivariate operators[J]. Journal of Inequalities and Applications,2012,2012(1).
APA	Zhao,Jianwei.(2012).Inequalities for a class of multivariate operators.Journal of Inequalities and Applications,2012(1).
MLA	Zhao,Jianwei."Inequalities for a class of multivariate operators".Journal of Inequalities and Applications 2012.1(2012).