ON THE GENERALIZED CONVEXITY AND CONCAVITY
A function ƒ : R+ → R+ is (m1, m2)-convex (concave) if ƒ(m1(x,y)) ≤ (≥) m2(ƒ(x), ƒ(y)) for all x,y Є R+ = (0,∞) and m1 and m2 are two mean functions. Anderson et al. [1] studies the dependence of (m1, m2)-convexity (concavity) on m1 and m2 and gave the sufficient conditions of (m1, m2)-convexity and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2015-11-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2709&lang=en |