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Convex and quasiconvex functions in metric graphs
(American Institute of Mathematical Sciences, 2021-12)
We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We characterize this largest convex function as ...
Subdifferential of the Supremum via Compactification of the Index Set
(Springer, 2020)
We give new characterizations for the subdifferential of the supremum of an arbitrary family of convex functions, dropping out the standard assumptions of compactness of the index set and upper semi-continuity of the ...
Characterizations of the subdifferential of convex integral functions under qualification conditions
(Academic Press Inc., 2019)
This work provides formulae for the ε-subdifferential of integral functions in the framework of complete σ-finite measure spaces and locally convex spaces. In this work we present here new formulae for this ε-subdifferential ...
Lower-semicontinuity and optimization of convex functionals
(2009-12-01)
The result that we treat in this article allows to the utilization of classic tools of convex analysis in the study of optimality conditions in the optimal control convex process for a Volterra-Stietjes linear integral ...
Lower-semicontinuity and optimization of convex functionals
(2009-12-01)
The result that we treat in this article allows to the utilization of classic tools of convex analysis in the study of optimality conditions in the optimal control convex process for a Volterra-Stietjes linear integral ...
Approximating optimization problems over convex functions
(Springer, 2008-11)
Many problems of theoretical and practical interest involve finding an optimum over a family of convex functions. For instance, finding the projection on the convex functions in $H^k(Omega)$, and some problems in economics. ...
Radii of starlikeness and convexity of some q-Bessel functions
(2016-03-01)
Geometric properties of the Jackson and Hahn-Exton q-Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of ...
Fejér type inequalities for m-convex functionsDesigualdad del tipo Fejér para funciones m-convexas
(Universidad Centroccidental Lisandro Alvarado, 2018)