Results 111 to 120 of about 390,218 (207)
Weighted Poincaré inequalities and Minkowski content
, 1995 Weighted Poincaré inequalities are established in any bounded domain D in ℝn (n ≧ 2), and their connection with the Minkowski content of ∂D is explored.
R. Hurri-Syrjänen, D. E. Edmunds
core +1 more source
MathematicsThis work considers the Minkowski sum of an N-dimensional ellipsoid and hyperrectangle, a combination that is extremely relevant due to the usage of ellipsoid-adjacent primitives in computer graphics for work such as 3D Gaussian splatting.
Martijn Courteaux +3 more
doaj +1 more source
The Minkowski inequalities via generalized proportional fractional integral operators
Advances in Difference Equations, 2019 Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements in the field of fractional calculus is the generalized nonlocal proportional fractional ...
Gauhar Rahman +3 more
doaj +1 more source
Brunn-Minkowski and Zhang inequalities for convolution bodies [PDF]
, 2013 A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain extensions of the Brunn-Minkowski and Zhang inequalities, as well as, other interesting properties on Convex Geometry involving ...
Jiménez Gómez, Carlos Hugo +3 more
core +1 more source
Radial Blaschke-Minkowski homomorphisms and volume differences
, 2011 In this paper we establish Minkowski, Brunn-Minkowski, and Aleksandrov-Fenchel type inequalities for volume differences of radial Blaschke-Minkowski homomorphisms.
Zhao, C +3 more
core +1 more source
On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]
, 2009 In this note we establish some Hermite-Hadamard type inequalities involving two functions.
Özdemir, M. Emin +2 more
core +2 more sources
Inequalities for dual affine quermassintegrals
Journal of Inequalities and Applications, 2006 For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski ...
Jun Yuan, Gangsong Leng
doaj
On a complementary Minkowski inequality
Journal of Mathematical Analysis and Applications, 1979 AbstractIt is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski inequality.
openaire +1 more source
An Improvement of an Inequality of Minkowski [PDF]
Proceedings of the National Academy of Sciences, 1951 openaire +2 more sources
Stability of Inequalities in the Dual Brunn-Minkowski Theory
, 1999 Stability versions are given of several inequalities from E. Lutwak's dual Brunn-Minkowski theory. These include the dual Aleksandrov-Fenchel inequality, the dual Brunn-Minkowski inequality, and the dual isoperimetric inequality.
Gardner, R.J., Vassallo, S.
core +1 more source