کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773724 1631388 2017 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration
چکیده انگلیسی
We study embeddings and norm estimates for tensor products of weighted reproducing kernel Hilbert spaces. These results lead to a transfer principle that is directly applicable to tractability studies of multivariate problems as integration and approximation, and to their infinite-dimensional counterparts. In an application we consider weighted tensor product Sobolev spaces of mixed smoothness of any integer order, equipped with the classical, the anchored, or the ANOVA norm. Here we derive new results for multivariate and infinite-dimensional integration.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 222, October 2017, Pages 8-39
نویسندگان
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