Results 11 to 20 of about 623,284 (221)
Lattice (List) Decoding Near Minkowski’s Inequality [PDF]
IEEE Transactions on Information Theory, 2020 Minkowski proved that any $n$ -dimensional lattice of unit determinant has a nonzero vector of Euclidean norm at most $\sqrt {n}$ ; in fact, there are $2^{\Omega (n)}$ such lattice vectors.
Ethan Mook, Chris Peikert
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Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
S. Abramovich +2 more
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The Brunn-Minkowski inequality, Minkowski's first inequality and their duals
Journal of Mathematical Analysis and Applications, 2000 Let \(K,L\) be convex bodies in Euclidean space \(\mathbb{E}^n\) with volumes \(V(K)=V(L)=1\), and let \(V_1(K,L)\) denote the mixed volume \(V(K, \dots, K,L)\). Then \[ V(K+L)^{1/n} -2\leq V_1(K,L) -1\leq {1\over n}\bigl(V(K+L)-2^n \bigr). \] These inequalities provide a quantitative improvement of the known equivalence of the Brunn-Minkowski ...
R. Gardner, S. Vassallo
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The extremals of Minkowski’s quadratic inequality [PDF]
Duke Mathematical Journal, 2019 In a seminal paper "Volumen und Oberfl\"ache" (1903), Minkowski introduced the basic notion of mixed volumes and the corresponding inequalities that lie at the heart of convex geometry.
Yair Shenfeld, R. Handel
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The converse theorem for Minkowski's inequality
Indagationes Mathematicae, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Matkowski
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A discrete analogue for Minkowski’s second theorem on successive minima [PDF]
, 2010 The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensional, 0-symmetric convex body and its successive minima.
R. Malikiosis
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On The Reverse Minkowski’s Integral Inequality
Kragujevac Journal of Mathematics, 2022 The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p <
Bouharket Benaissa
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Some new generalizations of reversed Minkowski's inequality for several functions via time scales
AIMS MathematicsIn this paper, we introduce novel extensions of the reversed Minkowski inequality for various functions defined on time scales. Our approach involves the application of Jensen's and Hölder's inequalities on time scales.
Elkhateeb S. Aly +3 more
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Minkowski's fundamental inequality for reduced positive quadratic forms(II) [PDF]
Journal of the Australian Mathematical Society, 1978 E. S. Barnes
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Three proofs of Minkowski's second inequality in the geometry of numbers [PDF]
Journal of the Australian Mathematical Society, 1965 R. Bambah, A. Woods, H. Zassenhaus
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