Results 21 to 30 of about 623,284 (221)

An elementary proof of Minkowski's second inequality [PDF]

open access: bronzeJournal of the Australian Mathematical Society, 1969
I. Danicic
semanticscholar   +2 more sources

On some classical integral inequalities in the setting of new post quantum integrals

open access: yesAIMS Mathematics, 2023
In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin   +6 more
doaj   +1 more source

Generalizations of Some Inequalities for Sugino Integrals [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudo-integrals. One of them, classes with pseudo-integrals where pseudo-operations are defined via a monotone and continuous generator ...
Bayaz Daraby
doaj   +1 more source

A nonabelian Brunn–Minkowski inequality

open access: yesGeometric and Functional Analysis, 2023
AbstractHenstock and Macbeath asked in 1953 whether the Brunn–Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao. We obtain here such an inequality and prove that it is sharp for helix-free locally compact groups, which includes real linear ...
Jing, Y, Tran, C-M, Zhang, R
openaire   +4 more sources

On innovations of n-dimensional integral-type inequality on time scales

open access: yesAdvances in Difference Equations, 2021
Integral-type inequalities and dynamic equations have an important place in time scales. In this paper, we present some innovations of n-dimensional Minkowski’s integral-type inequality on time scales via ◊ α $\lozenge _{\alpha } $ -integral.
Lütfi Akın
doaj   +1 more source

Boundary restricted Brunn–Minkowski inequalities

open access: yesCommunications in Contemporary Mathematics, 2023
In this paper, we explore questions regarding the Minkowski sum of the boundaries of convex sets. Motivated by a question suggested to us by V. Milman regarding the volume of [Formula: see text] where [Formula: see text] and [Formula: see text] are convex bodies, we prove sharp volumetric lower bounds for the Minkowski average of the boundaries of ...
Shiri Artstein-Avidan   +2 more
openaire   +3 more sources

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