AbstractThe definition of Minkowski–Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn–Minkowski–Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets
In this paper, we generalize the dual Brunn-Minkowski inequality and monotonicity of intersection bo...
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of t...
The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of t...
AbstractThe definition of Minkowski–Firey Lp-combinations is extended from convex bodies to arbitrar...
15 pagesWe consider a different $L^p$-Minkowski combination of compact sets in $\mathbb{R}^n$ than t...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We introduce the notion of Lp-mixed intersection body (p < 1) and extend the classical notion dual m...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski ...
2020 Elsevier Inc. In this paper, we confirm the Lp-Brunn-Minkowski inequality conjecture for p clos...
Analogs of the classical inequalities from the Brunn Minkowski Theory for rotation intertwining addi...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
AbstractFor origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces...
For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is ...
In this paper, we generalize the dual Brunn-Minkowski inequality and monotonicity of intersection bo...
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of t...
The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of t...
AbstractThe definition of Minkowski–Firey Lp-combinations is extended from convex bodies to arbitrar...
15 pagesWe consider a different $L^p$-Minkowski combination of compact sets in $\mathbb{R}^n$ than t...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We introduce the notion of Lp-mixed intersection body (p < 1) and extend the classical notion dual m...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski i...
We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski ...
2020 Elsevier Inc. In this paper, we confirm the Lp-Brunn-Minkowski inequality conjecture for p clos...
Analogs of the classical inequalities from the Brunn Minkowski Theory for rotation intertwining addi...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
Abstract. Two new approaches are presented to establish the existence of polytopal so-lutions to the...
AbstractFor origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces...
For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is ...
In this paper, we generalize the dual Brunn-Minkowski inequality and monotonicity of intersection bo...
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of t...
The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of t...
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