Results 11 to 20 of about 248 (64)
Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
wiley +1 more source
From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
wiley +1 more source
Functional inequalities for the Bickley function [PDF]
, 2013 In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
core +2 more sources
Associative polynomial functions over bounded distributive lattices [PDF]
, 2010 The associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity n>=1 as well as to functions of multiple arities.
D Zupnik +19 more
core +2 more sources
Axiomatizations of Lov\'asz extensions of pseudo-Boolean functions [PDF]
, 2011 Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables ...
Aczél +11 more
core +2 more sources
Strongly barycentrically associative and preassociative functions [PDF]
, 2016 We study the property of strong barycentric associativity, a stronger version of barycentric associativity for functions with indefinite arities. We introduce and discuss the more general property of strong barycentric preassociativity, a generalization ...
Marichal, Jean-Luc, Teheux, Bruno
core +3 more sources
Characterizations of quasitrivial symmetric nondecreasing associative operations [PDF]
, 2019 We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity can be replaced with bisymmetry in the definition of this class. Finally we
B Baets De +18 more
core +3 more sources
The additive approximation on a four‐variate Jensen‐type operator equation
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 50, Page 3171-3187, 2003., 2003 We study the Hyers‐Ulam stability theory of a four‐variate Jensen‐type functional equation by considering the approximate remainder ϕ and obtain the corresponding error formulas. We bring to light the close relation between the β‐homogeneity of the norm on F∗‐spaces and the approximate remainder ϕ, where we allow p, q, r, and s to be different in ...
Jian Wang
wiley +1 more source
On the stability of the quadratic mapping in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 217-229, 2001., 2001 The Hyers‐Ulam stability, the Hyers‐Ulam‐Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x + y) + f(x − y) = 2f(x) + 2f(y), f(x + y + z) + f(x − y) + f(y − z) + f(z − x) = 3f(x) + 3f(y) + 3f(z), f(x + y + z) + f(x) + f(y) + f(z) = f(x + y) + f(y + z) + f(z + x) are ...
Gwang Hui Kim
wiley +1 more source
Axiomatizations of quasi-polynomial functions on bounded chains [PDF]
, 2009 Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations.
Couceiro, Miguel, Marichal, Jean-Luc
core +5 more sources