کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900263 | 1631559 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Barycentric maps for compactly supported measures
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
After outlining the way in which an intrinsic mean G={Gn} on a complete metric space gives rise to a contractive barycentric map on some class of Borel probability measures and some basic examples of this process, we show how the resulting barycentric map gives rise to a general theory of integration of measurable functions into the space. We apply this machinery to the cone of positive invertible elements of a Câ-algebra equipped with the Thompson metric to derive barycentric maps and their basic properties arising from the power means. Finally we derive basic results for the Karcher barycenter including its approximation by the barycentric maps for power means and its satisfaction of the Karcher equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 2, 15 February 2018, Pages 1009-1026
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 2, 15 February 2018, Pages 1009-1026
نویسندگان
Sejong Kim, Jimmie Lawson, Yongdo Lim,