کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773842 1631462 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in Lp
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in Lp
چکیده انگلیسی
We consider γ-weighted anchored and ANOVA spaces of functions with mixed first order partial derivatives bounded in a weighted Lp norm with 1≤p≤∞. The domain of the functions is Dd, where D⊆R is a bounded or unbounded interval. We provide conditions on the weights γ that guarantee that anchored and ANOVA spaces are equal (as sets of functions) and have equivalent norms with equivalence constants uniformly or polynomially bounded in d. Moreover, we discuss applications of these results to integration and approximation of functions on Dd.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 40, June 2017, Pages 78-99
نویسندگان
, , , , ,