Results 121 to 130 of about 1,015,138 (226)

Remarks on the $Γ$-regularization of Non-convex and Non-semi-continuous Functions on Topological Vector Spaces [PDF]

open access: yesJournal of Convex Analysis 19(2):467-483 (2012), 2016
We show that the minimization problem of any non-convex and non-lower semi-continuous function on a compact convex subset of a locally convex real topological vector space can be studied via an associated convex and lower semi-continuous function $\Gamma \left( h\right) $. This observation uses the notion of $\Gamma $-regularization as a key ingredient.
arxiv  

Approximation of Convex Functions

open access: yesReal Analysis Exchange, 2004
In this note we give an elementary proof that an arbitrary convex function can be uniformly approximated by a convex \cinf-function on any closed bounded subinterval of the domain. An interesting byproduct of our proof is a global equation for a polygonal (piecewise affine) function.
openaire   +3 more sources

Improvement of Jensen, Jensen-Steffensen's, and Jensen's functionals related inequalities for various types of convexity [PDF]

open access: yesarXiv
In this paper we deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.
arxiv  

On uniformly convex functions

open access: yesJournal of Mathematical Analysis and Applications, 1983
AbstractIn this paper we study uniformly convex functions and uniformly convex functions at a point, giving some properties and characterizations of them. Further, we give some examples and applications of these types of functions.
openaire   +2 more sources

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