Results 121 to 130 of about 1,839,360 (254)

On the relaxation of some classes of unbounded integral functionals

open access: yesLe Matematiche, 1996
Given a Borel function having convex effective domain, but not necessarily bounded or with nonempty interior, locally bounded in the relative interior of its effective domain and verifying an upper semicontinuity type assumption in its effective domain ...
Luciano Carbone, Riccardo De Arcangelis
doaj  

On a 2-Relative Entropy. [PDF]

open access: yesEntropy (Basel), 2021
Fullwood J.
europepmc   +1 more source

Upper semicontinuous functions and the stone approximation theorem

open access: yesJournal of Approximation Theory, 1982
In convex function theory it has long been recognized as useful to identify a convex function with its epigraph, the convex set of points on or above its graph. Similarly, a concave function is identified with its hypograph, the convex set of points on or below its graph. Analysis is then performed in the product space. We present two standard examples.
openaire   +2 more sources

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