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Almost $λ$-convex and almost Wright-convex functions

In: Mathematica Slovaca, vol. 53, no. 1
Jiří Adámek

Details:

Year, pages: 2003, 67 - 73
About article:
Let $X$ be a linear space, $Δ $ be a nonempty convex subset of $X$ and $λ $ be a fixed number in $(0,1)$. It is shown that if a function $f:Δ \to \Bbb R$ is almost $λ$@-convex, then there exists a $λ $@-convex function $g$ which is equal to $f$ almost everywhere. It generalizes the classical result of Kuczma obtained for Jensen-convex functions. A similar result for Wright-convex function is also proved.
How to cite:
ISO 690:
Adámek, J. 2003. Almost $λ$-convex and almost Wright-convex functions. In Mathematica Slovaca, vol. 53, no.1, pp. 67-73. 0139-9918.

APA:
Adámek, J. (2003). Almost $λ$-convex and almost Wright-convex functions. Mathematica Slovaca, 53(1), 67-73. 0139-9918.