Results 11 to 20 of about 616,982 (218)

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

The extremals of Minkowski’s quadratic inequality [PDF]

open access: yesDuke 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
semanticscholar   +5 more sources

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan   +4 more
doaj   +2 more sources

An Information-Theoretic Proof of a Hypercontractive Inequality [PDF]

open access: yesEntropy
The famous hypercontractive estimate discovered independently by Gross, Bonami and Beckner has had a great impact on combinatorics and theoretical computer science since it was first used in this setting in a seminal paper by Kahn, Kalai and Linial.
Ehud Friedgut
doaj   +2 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

A discrete analogue for Minkowski’s second theorem on successive minima [PDF]

open access: yes, 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
semanticscholar   +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

A converse of Minkowski's inequality

open access: closedDiscrete Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horst Alzer, Stephan Ruscheweyh
openalex   +3 more sources

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