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Geometric Convergence and Concentration Inequalities for the Feynman–Kac Genetic Algorithm
In this paper, we consider a genetic evolution model associated to a given Feynman–Kac flow (called also the simple genetic algorithm). We first...
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Spectral gap of Boltzmann measures on unit circle
We give a two sided estimate on the spectral gap for the Boltzmann measures μ h on the circle. We prove that the spectral gap is greater than 1 for...
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A Bakry-Émery Approach to Lipschitz Transportation on Manifolds
On weighted Riemannian manifolds we prove the existence of globally Lipschitz transport maps between the weight (probability) measure and...
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Poincaré and Logarithmic Sobolev Inequalities for Nearly Radial Measures
Poincaré inequality has been studied by Bobkov for radial measures, but few are known about the logarithmic Sobolev inequality in the radial case. We...
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Coercive Inequalities and U-Bounds on Step-Two Carnot Groups
We prove Poincaré and Log β -Sobolev inequalities for a class of probability measures on step-two Carnot groups.
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Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive ψ-functional inequality in Banach algebras
In this paper, we define a new class of control functions through aggregate special functions. These class of control functions help us to stabilize...
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Set-Valued Means
The notion of set-valued means is introduced. Set-valued counterparts of the arithmetic, quasi-arithmetic and Lagrangian means are investigated and...
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Remarks on (F, t)-convex functions
In this work we discuss counterparts of some classical results connected with convex functions for a new class of functions, namely for ( F , t )-convex...
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Grünbaum-Type Inequalities for Gamma and Incomplete Gamma Functions
We show that the gamma and incomplete gamma functions satisfy certain functional inequalities of Grünbaum-type. Among our results is a new...
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The hyperstability of general linear equation via that of Cauchy equation
In this paper, we show that the hyperstability of the general linear equation recently proved by Piszczek (Aequationes Math 88:163–168,
2014 ) is a... -
Functionals Related to Gauss–Pólya Type Inequalities Involving Derivatives
We consider several functionals associated with inequalities which involve derivatives of functions. As a consequence of those results we get new...
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Some notes on the Ulam stability of the general linear equation
We discuss the hyperstability outcome given by Aiemsomboon and Sintunavarat [
1 ] and concerning the general linear equation. We give a simple proof of... -
An elementary proof for the majorization principle for Wright-convex functions
We give another elementary proof for the majorization principle for Wright-convex functions. This inequality is due to Ng.