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We consider certain properties of functions f : J → I (I, J intervals) such that
f(M(x, y)) ≤ N(f(x), f(y)), where M and N are general means. Some results are extensions of the case M = N = L, where L is the logarithmic mean.
- Logarithmic mean
- Identric mean
- Integral mean
- Convex or concave functions with respect to a mean
- Subadditive functions
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Cite this paper
Sándor, J., & Egri, E. (2015). On (M, N)-convex functions. Notes on Number Theory and Discrete Mathematics, 21(4), 40-47.