Manfred Krüppel
Eine Ungleichung für Banach-Limites beschränkter Zahlenfolgen
The paper is published: Rostocker Mathematische Kolloquium, Rostock. Math. Kolloq. 48, 75-59 (1995)
40A05 Convergence and divergence of series and sequences
Abstract: Let be LIM x_n any Banach-limit for an arbitrary bounded sequence of
real numbers. Then the inequality LIM g(x_n)\le g(LIM x_n) holds, where
g(t) is any convex function.