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Lipschitz Continuity of Convex Functions
(Springer, 2020)
We provide some necessary and sufficient conditions for a proper lower semicontinuous convex function, defined on a real Banach space, to be locally or globally Lipschitz continuous. Our criteria rely on the existence of ...
Characterization of Lipschitz Continuous Difference of Convex Functions
(Springer, 2013)
We give a necessary and sufficient condition for a difference of convex
(DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our
criterion relies on the intersection of the ε-subdifferentials ...
Meromorphic and Harmonic Functions Inducing Continuous Maps from MH∞ into the Riemann Sphere
(Academic Press Inc Elsevier Science, 2001-06)
We study the class of maps from the open unit disk into the Riemann sphere or into [−∞, +∞] that can be continuously extended to the maximal ideal space of H∞. Several characterizations are given for these classes and the ...
Continuous families of Holder functions that are not of bounded variation
(Akademiai KiadoBudapestHungria, 2004)
Continuous dependence on parameters
(2021-01-01)
This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ...
Bolzano's continuous but nowhere differentiable function
(Wolfram Demonstration Project, 2016)
Bolzano's continuous but nowhere differentiable function
(Wolfram Demonstration Project, 2011)
On real valued ω-continuous functions
(Acta Universitatis Sapientiae, Mathematica, 2019)
Multiple discrete continuous choice modeling through additively and non-additively separable functional forms.
(Universidad de Concepción.Facultad de Ciencias Económicas y Administrativas, 2023)
This paper compares welfare measures for Multiple Discrete-Continuous (MDC) choice models
with Additively Separable Utility (ASU) and Non-Additively Separable Utility (NASU) functions. The uncommonly used NASU approach ...
Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings
(Springer, 2020)
In this paper we establish general formulas for the subdifferential of the pointwise supremum of convex functions, which cover and unify both the compact continuous and the non-compact non-continuous settings. From the ...