Functional inequalities for generalized multi-quadratic mappings
Journal of Inequalities and Applications, 2021 In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation.
Abasalt Bodaghi
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Multiscale functional inequalities in probability: Concentration properties
Latin American Journal of Probability and Mathematical Statistics, 2019 In a companion article we have introduced a notion of multiscale functional inequalities for functions $X(A)$ of an ergodic stationary random field $A$ on the ambient space $\mathbb R^d$.
Duerinckx, Mitia, Gloria, Antoine
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Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems. [PDF]
J Stat Phys, 2020 We study dynamical optimal transport metrics between density matrices associated to symmetric Dirichlet forms on finite-dimensional $$C^*$$ C ∗ -algebras.
Carlen EA, Maas J.
europepmc +3 more sources
A family of functional inequalities: Łojasiewicz inequalities and displacement convex functions [PDF]
Journal of Functional Analysis, 2018 For displacement convex functionals in the probability space equip\-ped with the Monge-Kantorovich metric we prove the equivalence between the gradient and functional type \L oja\-sie\-wicz inequalities. \chg{We also discuss the more general case of $\lambda$-convex functions and we provide a general convergence theorem for the corresponding gradient ...
Adrien Blanchet, Jérôme Bolte
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Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems [PDF]
Bernoulli, 2021 We study functional inequalities (Poincar\'e, Cheeger, log-Sobolev) for probability measures obtained as perturbations. Several explicit results for general measures as well as log-concave distributions are given.The initial goal of this work was to ...
P. Cattiaux, A. Guillin
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Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications [PDF]
Journal of Geometric Analysis, 2022 The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main goal of this study is to establish the Stein–Weiss inequality, also known as a weighted Hardy–Littlewood–
A. Kassymov +2 more
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Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics [PDF]
Interfaces and free boundaries (Print), 2020 This paper is motivated by the study of Lyapunov functionals for four equations describing free surface flows in fluid dynamics: the Hele-Shaw and Mullins-Sekerka equations together with their lubrication approximations, the Boussinesq and thin-film ...
T. Alazard, D. Bresch
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Geometric and Functional Inequalities for Log-Concave Probability Sequences [PDF]
Discrete & Computational Geometry, 2020 We investigate geometric and functional inequalities for the class of log-concave probability sequences. We prove dilation inequalities for log-concave probability measures on the integers.
Arnaud Marsiglietti, J. Melbourne
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Functional Inequalities and Monotonicity Results for Modified Lommel Functions of the First Kind [PDF]
Results in Mathematics, 2020 We establish some monotonicity results and functional inequalities for modified Lommel functions of the first kind. In particular, we obtain new Turán type inequalities and bounds for ratios of modified Lommel functions of the first kind, as well as the ...
Robert E. Gaunt
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A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities [PDF]
Mathematische Annalen, 2023 We present a generic functional inequality on Riemannian manifolds, both in additive and multiplicative forms, that produces well known and genuinely new Hardy-type inequalities.
S'andor Kaj'ant'o +3 more
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