Multiplicative convex functions have been mimicking the behavior of convex functions, but focusing on geometric average, instead of arithmetic average. In the present note we propose a different definition which focuses on the arithmetic operations taking part and we study the resulting functions. A characterization is also provided.
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PJ
Pablo Jiménez-Rodríguez
Dept. of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
P. Jiménez-Rodríguez, M. E. Martínez-Gómez, G. A. Munoz-Fernández, J. B. Seoane-Sepúlveda. “Describing Multiplicative Convex Functions.” Journal of Convex Analysis 27 (2020), No. 3, 935–942.