Results 1 to 10 of about 593,721 (128)
On Minkowski's inequality and its application [PDF]
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
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A Converse of Minkowski's Type Inequalities [PDF]
We formulate and prove a converse for a generalization of the classical Minkowski's inequality. The case when is also considered. Applying the same technique, we obtain an analog converse theorem for integral Minkowski's type inequality.
Kalaj David, Meštrović Romeo
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Real interpolation for mixed Lorentz spaces and Minkowski's inequality [PDF]
We prove embeddings and identities for real interpolation spaces between mixed Lorentz spaces. This partly relies on Minkowski's (reverse) integral inequality in Lorentz spaces $L^{p,r}(X)$ under optimal assumptions on the exponents $(p,r)\in (0,\infty ...
Rainer Mandel
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Lattice (List) Decoding Near Minkowski's Inequality [PDF]
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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New generalization of reverse Minkowski's inequality for fractional integral
In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions.
Tariq A. Aljaaidi+1 more
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The Minkowski's inequality by means of a generalized fractional integral [PDF]
We use the definition of a fractional integral, recently proposed by Katugampola, to establisha generalization of the reverse Minkowski’s inequality. We show two new theorems associatedwith this inequality, as well as state and show other inequalities ...
J. Vanterler da C. Sousa+1 more
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Minkowski's inequality and sums of squares [PDF]
Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Péter E. Frenkel, Péter Horváth
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Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]
It is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi+4 more
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The Extremals of Minkowski's Quadratic Inequality [PDF]
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, Ramon van Handel
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Some new generalizations of reversed Minkowski's inequality for several functions via time scales
In 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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