Results 11 to 20 of about 54 (54)

Inequalities for pqth-dual mixed volumes

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of qth dual volumes.
Zhao Chang-Jian, Bencze Mihály
doaj   +1 more source

The Arithmetic Tutte polynomial of two matrices associated to Trees

Special Matrices, 2018
Arithmetic matroids arising from a list A of integral vectors in Zn are of recent interest and the arithmetic Tutte polynomial MA(x, y) of A is a fundamental invariant with deep connections to several areas. In this work, we consider two lists of vectors
Bapat R. B., Sivasubramanian Sivaramakrishnan   +1 more
doaj   +1 more source

General (p,q)-mixed projection bodies

Open Mathematics, 2020
In this article, the general (p,q)-mixed projection bodies are introduced. Then, some basic properties of the general (p,q)-mixed projection bodies are discussed, and the extreme values of volumes of the general (p,q)-mixed projection bodies and their ...
Feng Yibin, Zhou Yanping
doaj   +1 more source

On Tucker′s key theorem

International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 63-67, 1978., 1977
A new proof of a (slightly extended) geometric version of Tucker′s fundamental result is given.
Abraham Berman, Michael Tarsy
wiley   +1 more source

Brascamp–Lieb Inequalities on Compact Homogeneous Spaces

Analysis and Geometry in Metric Spaces, 2019
We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of
Bramati Roberto
doaj   +1 more source

Orlicz difference bodies

Open Mathematics, 2018
In this paper, by the Orlicz-Minkowski combinations of convex bodies, we define the general Orlicz difference bodies and study their properties. Furthermore, we obtain the extreme values of the general Orlicz difference bodies and their polars.
Shi Wei, Wang Weidong, Ma Tongyi
doaj   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

The regularity of solutions to the Lp Gauss image problem

Open Mathematics
The Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem.
Jia Xiumei, Chen Jing
doaj   +1 more source

On Minkowski's inequality and its application

Journal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

On a Santaló point for Nakamura-Tsuji’s Laplace transform inequality

Forum of Mathematics, Sigma
Nakamura and Tsuji recently obtained an integral inequality involving a Laplace transform of even functions that implies, at the limit, the Blaschke-Santaló inequality in its functional form.
Dario Cordero-Erausquin, Matthieu Fradelizi, Dylan Langharst   +2 more
doaj   +1 more source