A note on three-parameter families and generalized convex functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:330

Article

Adamek, Miroslaw ; Gilanyi, Attila ; Nikodem, Kazimierz ; Pales, Zsolt

关键词: three-parameter families;    generalized convex functions;   

DOI  :  10.1016/j.jmaa.2006.07.067

来源: Elsevier

【 摘 要 】

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 f : D subset of R-2 -> R and show some continuity properties of them. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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