کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4608717 1338375 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension
چکیده انگلیسی

In a celebrated construction, Chen and Skriganov gave explicit examples of point sets achieving the best possible L2L2-norm of the discrepancy function. We consider the discrepancy function of the Chen–Skriganov point sets in Besov spaces with dominating mixed smoothness and show that they also achieve the best possible rate in this setting. The proof uses a bb-adic generalization of the Haar system and corresponding characterizations of the Besov space norm. Results for further function spaces and integration errors are concluded.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 29, Issue 5, October 2013, Pages 370–388
نویسندگان
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