Results 11 to 20 of about 246 (58)
Some discrete Poincaré-type inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré-type integral inequalities involving many functions of many independent variables are established.
Cheung, WS
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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
Axiomatizations of signed discrete Choquet integrals [PDF]
, 2010 We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lov\'asz extension of a pseudo-Boolean function which vanishes at the origin.
Cardin, Marta +3 more
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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
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Continuous horizontally rigid functions of two variables are affine [PDF]
, 2011 Cain, Clark and Rose defined a function $f\colon \RR^n \to \RR$ to be \emph{vertically rigid} if $\graph(cf)$ is isometric to $\graph (f)$ for every $c \neq 0$.
Balka, Richárd, Elekes, Márton
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A classification of barycentrically associative polynomial functions [PDF]
, 2014 We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral ...
Marichal, Jean-Luc +2 more
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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
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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
A classification of polynomial functions satisfying the Jacobi identity over integral domains [PDF]
, 2017 The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to associativity. In this paper we provide a complete description of all bivariate polynomials that satisfy the Jacobi ...
Marichal, Jean-Luc, Mathonet, Pierre
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