COMPUTATIONAL COMPLEXITY IN WORST, STOCHASTIC AND AVERAGE CASE SETTING ON FUNCTIONAL APPROXIMATION PROBLEM OF MULTIVARIA

The order of computational complexity of all bounded linear functional approximation problem is determined for the generalized Sobolev class Wp∧(Id), Nikolskii class Hk∞(Id) in the worst (deterministic), stochastic and average case setting, from which it is concluded that the bounded linear functional approximation problem for the classes stochastic and average case setting.

作 者： Fang Gensun YE Peixin   作者單位： Fang Gensun(School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China)

YE Peixin(School of Mathematical Sciences and LPMC, Nankai university, Tianjin 300071, China) 

刊 名： 數(shù)學(xué)物理學(xué)報(bào)（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(3)  分類號(hào)： O41  關(guān)鍵詞： Worst (deterministic) case   stochastic case   average case setting   bounded linear functional   error estimate  

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