Injectiveness and Discontinuity of Multiplicative Convex Functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 03 May 2021 Spain English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,035 (eissn: 2227-7390,

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Authors: Pablo Jiménez-Rodríguez; María E. Martínez-Gómez; Gustavo A. Muñoz-Fernández; Juan B. Seoane-Sepúlveda;

doi: 10.3390/math9091035

handle: 20.500.14352/7346

Injectiveness and Discontinuity of Multiplicative Convex Functions

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Abstract

In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.

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Spain

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Keywords

convex function, convexity, 1202 Análisis y Análisis Funcional, multiplicative convex, Multiplicative convex, Convexity, Convex function, 517, Análisis matemático, QA1-939, Mathematics

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