学术报告
THE APPROXIMATION ERROR OF LAGRANGE INTERPOLATION IN THE WORST CASE SETTING - 黄蓉（天津师范大学）,EC-tractability of approximation problems in function spaces defined over products of simplices - 张杰 （北京师范大学）
题 目：THE APPROXIMATION ERROR OF LAGRANGE INTERPOLATION IN THE WORST CASE SETTING
报告人：黄蓉（天津师范大学）
摘 要：In this paper we considered the approximation errors of Lagrange interpolation based on the third Chebyshev knots in the worst case setting． For Lagrange interpolation approximation in the maximum norm and the weighted $L_{2}$ norm，we obtained the exact approximation values for an analytic function class．For Lagrange interpolation approximation in the weighted $L^{p}(p>1,p/neq2)$ norm，we obtained the strong asymptotic order for this analytic function class．
题 目：EC-tractability of approximation problems in function spaces defined over products of simplices
报告人：张杰（北京师范大学）
摘 要：Many authors have studied exponentially-convergent tractability in the worst case setting. But almost all the articles related to tractability are focused on the classes of some multivariate functions defined over the unit cubes [0,1]^{m} or R^{m}. Note that simplex is also an important geometry and has many practical applications,in this paper we considered tractability of the approximation problems of function spaces defined over products of simplices and obtained necessary and sufficient conditions for certain kinds of tractability, including EC-tractability.
时间：12月5日（周二）下午2：40-4：40
地点：首师大校本部新教二楼808
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