کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616546 1339352 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lipschitz constants and logarithmic Sobolev inequality
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Lipschitz constants and logarithmic Sobolev inequality
چکیده انگلیسی

We revisit two results of  [3]; they are a logarithmic Sobolev inequality on RnRn with Lipschitz constants and an expression of Lipschitz constants as the limit of a functional by the entropy. We have two goals in this paper. The first goal is to clarify when the strict inequality holds in this inequality. The second goal is to investigate the asymptotic behavior of this functional by the Abelian and Tauberian theorems of Laplace transforms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 2, 15 December 2013, Pages 705–712
نویسندگان
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