Results 11 to 20 of about 76 (71)

L p -Dual geominimal surface area

open access: yesJournal of Inequalities and Applications, 2011
Lutwak proposed the notion of Lp -geominimal surface area according to the Lp -mixed volume. In this article, associated with the Lp -dual mixed volume, we introduce the Lp -dual geominimal surface area and prove some inequalities for this notion.
Weidong Wang, Chen Qi
doaj   +1 more source

Inequalities of Aleksandrov body

open access: yesJournal of Inequalities and Applications, 2011
A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
doaj   +1 more source

Reducing the complexity of equilibrium problems and applications to best approximation problems [PDF]

open access: yes, 2023
We consider the scalar equilibrium problems governed by a bifunction in a finite-dimensional framework and we characterize the solutions by means of extreme or exposed points.
FODOR, Valerian-Alin   +1 more
core   +1 more source

Iterations of the projection body operator and a remark on Petty’s conjectured projection inequality [PDF]

open access: yes, 2018
Mathematics subject classification; 52A20, 53A15, 52A39 ...
Saroglou, Christos, Zvavitch, Artem
core   +1 more source

Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery

open access: yesResults in Applied Mathematics, 2019
In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions.
Auwal Bala Abubakar   +2 more
doaj   +1 more source

On Tucker′s key theorem

open access: yesInternational 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

General (p,q)-mixed projection bodies

open access: yesOpen 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

Chebyshev Measures [PDF]

open access: yes, 1996
. We introduce Chebyshev measures. We generalize the representation theorem concerning both measures admitting a density function which is a T --system and oriented measures. 1991 Mathematics Subject Classification. 41A50, 46G10, 52A20.
Carlo Mariconda   +4 more
core   +1 more source

Orlicz difference bodies

open access: yesOpen 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

Variations in the sub-defect of doubly substochastic matrices

open access: yesSpecial Matrices
The sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei   +2 more
doaj   +1 more source

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