A uniformly sharp monotonicity result for discrete fractional sequential differences
Sign Up to like & getrecommendations! Published in 2018 at "Archiv der Mathematik"
DOI: 10.1007/s00013-017-1106-4
Abstract: A monotonicity-type result for functions $$f\ : \ \mathbb {N}_a\rightarrow \mathbb {R}$$f:Na→R satisfying the sequential fractional difference inequality $$\begin{aligned} \Delta _{1+a-\mu }^{\nu }\Delta _{a}^{\mu }f(t)\ge 0, \end{aligned}$$Δ1+a-μνΔaμf(t)≥0,for $$t\in \mathbb {N}_{2+a-\mu -\nu }$$t∈N2+a-μ-ν, where $$0 read more here.
Keywords: monotonicity; sharp monotonicity; uniformly sharp; result discrete ... See more keywords
Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities
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DOI: 10.1007/s10455-021-09822-0
Abstract: Using Rauch’s comparison theorem, we prove several monotonicity inequalities for Riemannian submanifolds. Our main result is a general Li–Yau inequality which is applicable in any Riemannian manifold whose sectional curvature is bounded above (possibly positive).… read more here.
Keywords: geometric inequalities; monotonicity; inequalities varifolds; riemannian manifolds ... See more keywords
Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method
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DOI: 10.1007/s10915-016-0267-9
Abstract: We analyze monotonicity, strong stability and positivity of the TR-BDF2 method, interpreting these properties in the framework of absolute monotonicity. The radius of absolute monotonicity is computed and it is shown that the parameter value… read more here.
Keywords: monotonicity; bdf2 method; unconditionally strong; stability ... See more keywords
Optimal Monotonicity-Preserving Perturbations of a Given Runge–Kutta Method
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DOI: 10.1007/s10915-018-0664-3
Abstract: Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study the question of how to optimally… read more here.
Keywords: monotonicity; perturbations given; preserving perturbations; runge kutta ... See more keywords
Complete monotonicity of some entropies
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DOI: 10.1007/s10998-016-0177-5
Abstract: It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and… read more here.
Keywords: monotonicity; complete monotonicity; monotonicity entropies;
Proving endpoint dependence in solving interval parametric linear systems
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DOI: 10.1007/s11075-020-00936-3
Abstract: Linear algebraic systems involving linear dependencies between interval valued parameters and the so-called united parametric solution set of such systems are considered. The focus is on systems, such that the vertices of their interval hull… read more here.
Keywords: monotonicity; endpoint dependence; dependence solving; proving endpoint ... See more keywords
Range convergence monotonicity for vector measures and range monotonicity of the mass
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DOI: 10.1007/s11587-019-00463-x
Abstract: We prove that the range of sequence of vector measures converging widely satisfies a weak lower semicontinuity property, that the convergence of the range implies the strict convergence (convergence of the total variation) and that… read more here.
Keywords: vector measures; convergence; monotonicity; range convergence ... See more keywords
Introducing the monotonicity constraint as an effective chemistry-based condition in self-modeling curve resolution
Sign Up to like & getrecommendations! Published in 2019 at "Chemometrics and Intelligent Laboratory Systems"
DOI: 10.1016/j.chemolab.2019.04.002
Abstract: Abstract The results by soft modeling multivariate curve resolution methods often are not unique and are questionable because of the rotational ambiguity. It means a range of feasible solutions equally fits experimental data and fulfills… read more here.
Keywords: chemistry; curve resolution; chemistry based; monotonicity ... See more keywords
Experimental Detection and Shape Reconstruction of Inclusions in Elastic Bodies via a Monotonicity Method
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DOI: 10.1016/j.ijsolstr.2021.111169
Abstract: Abstract We deal with the detection and shape reconstruction of inclusions in elastic bodies based on a monotonicity method and aim to reconstruct them with experimental measurements. Thus, we base our studies on the rigorously… read more here.
Keywords: elastic bodies; detection shape; monotonicity; inclusions elastic ... See more keywords
Tests of stochastic monotonicity with improved power
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DOI: 10.1016/j.jeconom.2018.04.004
Abstract: We develop improved statistical procedures for testing stochastic monotonicity. While existing tests use a fixed critical value to set the limiting rejection rate equal to nominal size at the least favorable case, we use a… read more here.
Keywords: monotonicity; tests stochastic; stochastic monotonicity; monotonicity improved ... See more keywords
Oblique Projected Dynamical Systems and Incremental Stability Under State Constraints
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DOI: 10.1109/lcsys.2020.2997612
Abstract: Projected dynamical systems (PDS) are discontinuous dynamical systems obtained by projecting a vector field on the tangent cone of a given constraint set. As such, PDS provide a convenient formalism to model constrained dynamical systems.… read more here.
Keywords: monotonicity; projected dynamical; incremental stability; dynamical systems ... See more keywords