
doi: 10.68381/jca27047
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.
convex function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convexity, multiplicative convex, Convexity of real functions in one variable, generalizations
convex function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convexity, multiplicative convex, Convexity of real functions in one variable, generalizations
| citations The total number of citations received by all articles of the researcher of interest. | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
