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On Minkowski's inequality and its application [PDF]

open access: goldJournal of Inequalities and Applications, 2011
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
doaj   +3 more sources

A Converse of Minkowski's Type Inequalities [PDF]

open access: goldJournal of Inequalities and Applications, 2010
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
doaj   +3 more sources

Real interpolation for mixed Lorentz spaces and Minkowski's inequality [PDF]

open access: greenZeitschrift für Analysis und ihre Anwendungen, 2023
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
openalex   +2 more sources

Lattice (List) Decoding Near Minkowski's Inequality [PDF]

open access: greenIEEE 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
openalex   +3 more sources

New generalization of reverse Minkowski's inequality for fractional integral

open access: diamondAdvances in the Theory of Nonlinear Analysis and its Application, 2021
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
openalex   +3 more sources

The Minkowski's inequality by means of a generalized fractional integral [PDF]

open access: green, 2017
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
semanticscholar   +4 more sources

Minkowski's inequality and sums of squares [PDF]

open access: green, 2012
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
semanticscholar   +4 more sources

Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]

open access: yesHeliyon
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
doaj   +2 more sources

The Extremals of Minkowski's Quadratic Inequality [PDF]

open access: greenDuke 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, Ramon van Handel
openalex   +3 more sources

Some new generalizations of reversed Minkowski's inequality for several functions via time scales

open access: goldAIMS Mathematics
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
doaj   +2 more sources

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