Zobrazeno 1 - 10
of 8 205
pro vyhledávání: '"Functional inequalities"'
Autor:
Mishra, Deepshikha, Swaminathan, A.
This paper focuses on the generalized polylogarithm $\Phi_{p, q}(a, b; z)$, which extends the notion of classical polylogarithm. A new integral representation for $\Phi_{p, q}(a, b; z)$ is derived. Using this integral representation, we discuss its c
Externí odkaz:
http://arxiv.org/abs/2412.08552
The validity of functional inequalities on Finsler metric measure manifolds is based on three non-Riemannian quantities, namely, the reversibility, flag curvature and $S$-curvature induced by the measure. Under mild assumptions on the reversibility a
Externí odkaz:
http://arxiv.org/abs/2409.05497
Autor:
Chen, Suei-Wen
This paper presents a method to establish functional inequalities via fuzzy decomposition on the state space, which generalizes earlier results dealing with exact partitions of the state space. Given a reversible Markov chain on a finite state space,
Externí odkaz:
http://arxiv.org/abs/2410.17301
Autor:
Bormann, Marie
We give upper bounds for the Poincar\'e and Logarithmic Sobolev constants for doubly weighted Brownian motion on manifolds with sticky reflecting boundary diffusion under curvature assumptions on the manifold and its boundary. We therefor use an inte
Externí odkaz:
http://arxiv.org/abs/2409.19336
The dynamics of probability density functions has been extensively studied in science and engineering to understand physical phenomena and facilitate algorithmic design. Of particular interest are dynamics that can be formulated as gradient flows of
Externí odkaz:
http://arxiv.org/abs/2407.15693
Autor:
Niculescu, Constantin P.
A quadrilateral inequality established by C. Sch\"otz in the context of Hilbert spaces is extended to the framework of Banach spaces. Our approach is based on the majorization theory and a substitute for the parallelogram law associated with Clarkson
Externí odkaz:
http://arxiv.org/abs/2405.20097