Results 61 to 70 of about 5,472,506 (230)
Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications
Axioms, 2023 The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry +2 more
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Lattices with non-Shannon Inequalities
, 2015 We study the existence or absence of non-Shannon inequalities for variables that are related by functional dependencies. Although the power-set on four variables is the smallest Boolean lattice with non-Shannon inequalities there exist lattices with many
Harremoës, Peter
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Duality and Stability for Functional Inequalities [PDF]
, 2016 We develop a general framework for using duality to "transfer" stability results for a functional inequality to its dual inequality. As an application, we prove a stability bound for the Hardy-Littlewood-Sobolev inequality, which is related by duality ...
E. Carlen
semanticscholar +1 more source
Journal of Inequalities and Applications, 2020 In this paper, we present some refinements and reverses for some inequalities involving the weighted arithmetic mean and the weighted geometric mean of two convex functionals. Inequalities involving the Heinz functional mean are also obtained.
Mustapha Raïssouli, Mashael Almozini
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Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions [PDF]
, 2011 We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions.
Cheng Ouyang +3 more
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$f$-Divergence Inequalities via Functional Domination
, 2016 This paper considers derivation of $f$-divergence inequalities via the approach of functional domination. Bounds on an $f$-divergence based on one or several other $f$-divergences are introduced, dealing with pairs of probability measures defined on ...
Sason, Igal, Verdú, Sergio
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Some Gamma Function Inequalities [PDF]
Mathematics of Computation, 1993 A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x
openaire +2 more sources
Tooth loss in the United Kingdom--trends in social inequalities: an age-period-and-cohort analysis.
PLoS ONE, 2014 This study assessed trends in social inequalities in tooth loss in the United Kingdom between 1988 and 2009. Data from 20,126 adults who participated in the latest three national Adult Dental Health Surveys in England, Wales and Northern Ireland were ...
Eduardo Bernabé, Aubrey Sheiham
doaj +1 more source
Partitions and functional Santalo inequalities [PDF]
, 2009 We give a direct proof of a functional Santalo inequality due to Fradelizi and Meyer. This provides a new proof of the Blaschke-Santalo inequality. The argument combines a logarithmic form of the Prekopa-Leindler inequality and a partition theorem of Yao
Lehec, Joseph
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Functional Inequalities and Subordination: Stability of Nash and Poincar\'e inequalities [PDF]
, 2011 We show that certain functional inequalities, e.g.\ Nash-type and Poincar\'e-type inequalities, for infinitesimal generators of $C_0$ semigroups are preserved under subordination in the sense of Bochner.
Schilling, René L., Wang, Jian
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