Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Songjun Lv"'
Publikováno v:
Archiv der Mathematik.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::069a25a5c9d8b151e9fbf07dfe77ebc6
https://doi.org/10.1007/s00013-023-01856-z
https://doi.org/10.1007/s00013-023-01856-z
Autor:
Songjun Lv
Publikováno v:
Journal of Mathematical Analysis and Applications. 526:127210
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::812c5288c8fe8f630aef7a858b8daa7c
https://doi.org/10.1016/j.jmaa.2023.127210
https://doi.org/10.1016/j.jmaa.2023.127210
Autor:
Songjun Lv
Publikováno v:
The Journal of Geometric Analysis. 31:6274-6291
The Busemann intersection inequality states that if K is a compact domain in $${\mathbb {R}}^n$$ then where $$c(n)>0$$ is an explicit constant, with equality if and only if K is an ellipsoid centered at the origin. In this paper, we prove a functiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e9fcbbf7efd36f3fd1de6e509676594
https://doi.org/10.1007/s12220-020-00527-7
https://doi.org/10.1007/s12220-020-00527-7
Autor:
Rui Chen, Songjun Lv
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 26:701-718
Extremal problems optimizing mixed integral $$L_p$$ affine surface area under linear transformation are investigated. The famous Lutwak–Yang–Zhang ellipsoid turns out to be a special case of the solutions. Associated John’s inclusions are also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::779695b3a22f5fbfb8fcf437cfe006f1
https://doi.org/10.1007/s40590-019-00272-0
https://doi.org/10.1007/s40590-019-00272-0
Autor:
Songjun Lv
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 60:709-732
When $$p>0$$ , the dual $$L_p$$ John ellipsoids provide a unified treatment for the Lowner ellipsoid and the Legendre ellipsoid associated with a convex body. When $$p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc4230fe09ab94c54aff12723504b61d
https://doi.org/10.1007/s13366-019-00444-z
https://doi.org/10.1007/s13366-019-00444-z
Autor:
Songjun Lv
Publikováno v:
Geometriae Dedicata. 199:335-353
By proving a “weighted” reverse affine isoperimetric inequality and its dual, we establish a sharp $$L_\infty $$ Loomis–Whitney inequality and its dual both associated with even isotropic measures. This complements the recently-discovered famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd572a2c43d1460ea18fd4186f41bceb
https://doi.org/10.1007/s10711-018-0352-3
https://doi.org/10.1007/s10711-018-0352-3
Autor:
Songjun Lv
Publikováno v:
Advances in Applied Mathematics. 89:18-40
We extend the ( q , λ ) -Fisher information to a much broader setting, where the power function x ↦ | x | q in the ( q , λ ) -Fisher information is replaced by an arbitrarily chosen convex function. We describe qualitative research, which is unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11eba3892cf0aefa10af5e715df2f059
https://doi.org/10.1016/j.aam.2017.03.002
https://doi.org/10.1016/j.aam.2017.03.002
Autor:
Songjun Lv, Qunli Long
Publikováno v:
Results in Mathematics. 73
Several isoperimetric type inequalities for p-mean width of convex bodies in $$\mathbb {R}^n$$ are established. These inequalities show the interrelations among the p-mean width of a convex body in $$\mathbb {R}^n$$ , an isotropic measure on unit sph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad3e0821d5391e6a90764c6fb96c1ebb
https://doi.org/10.1007/s00025-018-0786-9
https://doi.org/10.1007/s00025-018-0786-9
Autor:
Songjun Lv
Publikováno v:
Journal of Multivariate Analysis. 134:61-70
It turns out that there exist general covariance matrices associated not only to a random vector itself but also to its general moments. In this paper we introduce and characterize general covariance matrices of a random vector that are associated to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::184e6d6b76068d4b53c31b545b6d25b0
https://doi.org/10.1016/j.jmva.2014.10.007
https://doi.org/10.1016/j.jmva.2014.10.007
Publikováno v:
IEEE Transactions on Information Theory. 59:5592-5599
An affine invariant pth moment measure is defined for a random vector and used to prove sharp moment-entropy inequalities that are more general and stronger than standard moment-entropy inequalities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ceb2d03efbeaf83c819029e33bcd701
https://doi.org/10.1109/tit.2013.2258457
https://doi.org/10.1109/tit.2013.2258457