Journal of Convex Analysis 27 (2020), No. 3, 935--942
Copyright Heldermann Verlag 2020
Describing Multiplicative Convex Functions
Pablo Jiménez-Rodríguez
Dept. of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
pjimene1@kent.edu
Maria E. Martínez-Gómez
Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
mariae24@ucm.es
Gustavo A. Munoz-Fernández
Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
gustavo_fernandez@mat.ucm.es
Juan B. Seoane-Sepúlveda
Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
jseoane@ucm.es
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.
Keywords: Convexity, convex function, multiplicative convex.
MSC: 26A51, 30C45.
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