Results 11 to 20 of about 490,432 (283)
Functional Bell inequalities can serve as a stronger entanglement witness [PDF]
, 2002 We consider a Bell inequality for a continuous range of settings of the apparatus at each site. This "functional" Bell inequality gives a better range of violation for generalized GHZ states.
A. Acín +31 more
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Hlawka’s functional inequality [PDF]
Aequationes mathematicae, 2012 The paper is devoted to the functional inequality \[ f(x+y)+f(y+z)+f(x+z)\leq f(x+y+z)+f(x)+f(y)+f(z), \tag{1} \] where a real-valued mapping \(f\) is considered either on an abelian group, or on a vector space, or on the real line. Note that for \(f(x,y)=\|x+y\|^2\) considered on a real or complex inner product space, this inequality is known as ...
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A new characterization of Talagrand's transport-entropy inequalities and applications [PDF]
, 2011 We show that Talagrand's transport inequality is equivalent to a restricted logarithmic Sobolev inequality. This result clarifies the links between these two important functional inequalities.
Cyril Roberto +3 more
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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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Journal of Mathematical Analysis and Applications, 1996 Given extended real numbers \(a,b\) with \(a0 ...
Simić, Slavko, Radenović, Stojan
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AN ADDITIVE FUNCTIONAL INEQUALITY [PDF]
Korean Journal of Mathematics, 2014 Summary: In this paper, we solve the additive functional inequality \[\|f(x)+f(y)+f(z)\| \le \| \rho f( s (x+y+z)\| ,\] where \(s\) is a nonzero real number and \(\rho\) is a real number with \(|\rho| < 3\). Moreover, we prove the Hyers-Ulam stability of the above additive functional inequality in Banach spaces.
Lee, Sung Jin +2 more
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On Gamma Function Inequalities [PDF]
Mathematics of Computation, 1986 We show that certain functions involving quotients of gamma functions are completely monotonic. This leads to inequalities involving gamma functions. We also establish the infinite divisibility of several probability distributions whose Laplace transforms involve quotients of gamma functions.
Bustoz, Joaquin, Ismail, Mourad E. H.
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A note on a functional inequality
International Journal of Mathematics and Mathematical Sciences, 1992 We prove: If r1,…,rk are (fixed) positive real numbers with ∏j=1krj>1, then the only entire solutions φ:ℂ→ℂ of the functional inequality∏j=1k|φ(rjz)|≥(∏j=1krj)|φ(z)|kare φ(z)=czn, where c is a complex number and n is a positive integer.
Horst Alzer
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Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2021 In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
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BMC Geriatrics, 2022 Background This study aims to determine the change of inequality in functional disability of older populations in China over the period from 2008 to 2018 and decompose the contribution of the personal and environmental predictors to the change.
Tao Zhang +3 more
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