The paper concerns the determination of convex bodies by values of $+\infty$-, $-\infty$- and $i$-chord functions. We prove that any at least two-dimensional convex body is not determined by values of $-\infty$-chord functions at any two internal points. We also present some positive results on the determination of convex bodies using $-\infty$- or $+\infty$- chord function at one point and $i$-chord function at another one
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
the chord length distribution (CLD) and its nth moments ( ) have been calculated for a set of 3D-con...
Various theorems are proved to show that chord functions, or the generalized fc-chord functions, at ...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
First we discuss different representations of chord power integrals I_p(K) of any order p >= 0 for c...
Although convex functions have been characterized using the derivative,integral and monotonicity of ...
First we discuss different representations of chord power integrals I_p(K) of any order p >= 0 for c...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
We study positive $infty$-harmonic functions in bounded domains. We use the theory of viscosity solu...
and they all contain its centre. More generally, a chord of a convex body in R^ is called a diameter...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 Lothar H...
In this paper we present some notions and classical results from convex geometry which have found nu...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
the chord length distribution (CLD) and its nth moments ( ) have been calculated for a set of 3D-con...
Various theorems are proved to show that chord functions, or the generalized fc-chord functions, at ...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
First we discuss different representations of chord power integrals I_p(K) of any order p >= 0 for c...
Although convex functions have been characterized using the derivative,integral and monotonicity of ...
First we discuss different representations of chord power integrals I_p(K) of any order p >= 0 for c...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
We study positive $infty$-harmonic functions in bounded domains. We use the theory of viscosity solu...
and they all contain its centre. More generally, a chord of a convex body in R^ is called a diameter...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 Lothar H...
In this paper we present some notions and classical results from convex geometry which have found nu...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
For planar convex bodies K with positive area A(K), boundary length L(bd K) and second-order chord p...
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
In this paper we study the problem of minimizing the area for the chord-convex sets of given size, t...
the chord length distribution (CLD) and its nth moments ( ) have been calculated for a set of 3D-con...