Injectiveness and Discontinuity of Multiplicative Convex Functions

Injectiveness and Discontinuity of Multiplicative Convex Functions

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 disco...

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Veröffentlicht in:Mathematics (Basel) 2021-05, Vol.9 (9), p.1035
Hauptverfasser: Jiménez-Rodríguez, Pablo, Martínez-Gómez, María E., Muñoz-Fernández, Gustavo A., Seoane-Sepúlveda, Juan B.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Convex analysis
convex function
convexity
Discontinuity
Food science
multiplicative convex
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9091035