A Metric Inequality for the Thompson and Hilbert Geometries
There are two natural metrics defined on an arbitrary convex cone: Thompson's part metric and Hilbert's projective metric. For both, we establish an inequality giving information about how far the metric is from being non-positively curved.Comment: 15 ...
Cormac Walsh +3 more
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Quantitative Stability and Optimality Conditions in Convex Semi-Infinite and Infinite Programming [PDF]
This paper concerns parameterized convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional Banach (resp. finite-dimensional) spaces and that are indexed by an arbitrary fixed set T .
CÁnovas, M. J. +3 more
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Double scale analysis of periodic solutions of some non linear vibrating systems [PDF]
We consider {\it small solutions} of a vibrating system with smooth non-linearities for which we provide an approximate solution by using a double scale analysis; a rigorous proof of convergence of a double scale expansion is included; for the forced ...
Brahim, Nadia Ben, Rousselet, Bernard
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A Generalised Trapezoid Type Inequality for Convex Functions [PDF]
A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure ...
Dragomir, Sever Silvestru
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Global Dynamics of SARS-CoV-2 Infection with Antibody Response and the Impact of Impulsive Drug Therapy. [PDF]
Chatterjee AN +3 more
europepmc +2 more sources
We establish new results of first-order necessary conditions of optimality for finite-dimensional problems with inequality constraints and for problems with equality and inequality constraints, in the form of John's theorem and in the form of Karush-Kuhn-
Blot, Joël
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
Wang J, Li S, Feng M.
europepmc +1 more source
Impact of optimal vaccination and social distancing on COVID-19 pandemic. [PDF]
Saha S, Samanta G, Nieto JJ.
europepmc +1 more source
Mathematical Analysis of Two Waves of COVID-19 Disease with Impact of Vaccination as Optimal Control. [PDF]
Santra PK +3 more
europepmc +1 more source
A compactness result for a Gelfand-Liouville system with Lipschitz condition
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core

