Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622830 | Journal of Mathematical Analysis and Applications | 2007 | 7 Pages |
Abstract
The concept of generalized convex functions introduced by Beckenbach [E.F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. 43 (1937) 363–371] is extended to the two-dimensional case. Using three-parameter families, we define generalized convex (midconvex, M-convex) functions and show some continuity properties of them.
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