On some intermediate mean values

We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class $\Lambda_{f,g}(a, b)$ of mean values where $f, g$ are continuously differentiable convex functions satisfying the relation $f"(t)=t g"(t), t\in \Bbb R^+$. Then we asked for a characterization of $f, g$ such that the inequalities $H(a, b)\le \Lambda_{f, g}(a, b)\le A(a, b)$ or $L(a, b)\le \Lambda_{f, g}(a, b)\le I(a, b)$ hold for each positive $a, b$, where $H, A, L, I$ are the harmonic, arithmetic, logarithmic and identric means, respectively. For a subclass of $\Lambda$ with $g"(t)=t^s, s\in \Bbb R$, this problem is thoroughly solved

Comparing maximal mean values on different scales

When computing the average speed of a car over different time periods from given GPS data, it is conventional wisdom that the maximal average speed over all time intervals of fixed length decreases if the interval length increases. However, this intuition is wrong. We investigate this phenomenon and make rigorous in which sense this intuition is still true

Mean or green? Values, morality and environmental significant behavior.

In most cases, pro-environmental behavior does not maximize individual interests, but mainly benefits other people or the environment. We propose that although acting on the basis of egoistic considerations may result in pro-environmental behavior, altruistic and biospheric considerations provide the most stable basis for pro-environmental behavior. We present two strategies to promote stable pro-environmental behavior. The first way is increasing the saliency of altruistic and biospheric values in specific situations, thereby reducing the relative strength of egoistic values. The second way is making the often “anti-environmental” egoistic values compatible with “pro-environmental” altruistic and biospheric values. We explain these options and translate it to possible interventions, policy implications, and follow-up research to promote “green” behavior