Mar 16, 2014 · So, strictly convex preferences do not imply monotonicity (at least in the direction that you want). Monotonicity and strict convexity imply strong monotonicity

Oct 11, 2012 · How can I prove the monotonicity of a function? Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago

Mar 20, 2015 · I have a function of two variables, which I wish to check for monotonicity in the entire function domain. I cant find any formal definition of increasing or decreasing function for …

Mar 16, 2020 · How to determine monotonicity intervals for a given function? Ask Question Asked 5 years, 9 months ago Modified 5 years, 9 months ago

Apr 17, 2016 · As I have always understood it (and various online references seem to go with this tradition) is that when one says a function is increasing or strictly increasing, they mean it is …

Anyone know of a direct proof for the equivalent statement for the Riemann integral? (An indirect proof is the following: when the Riemann integral exists, it coincides with the Lebesgue …

Apr 26, 2020 · But there is a discontinuity in $0$. My formula book begins stating the conditions for a monotonic function for a continuous function in the closed interval $ [x,y]$. I interpret this …

Apr 2, 2024 · This question is essentially a duplicate of Inverse of Strictly Monotone Function. Note that while there the OP assumes that the domain of the function is $\mathbb {R}$ (and …

Nov 30, 2016 · The cyclic monotonicity condition can be viewed heuristically as a discrete substitute for two classical conditions: that a smooth convex function has a positive semi …

Feb 18, 2025 · Therefore, if this reasoning is correct and these two definitions of $\sigma$ -subadditivity are equivalent only under additional hypotheses (namely, monotonicity and …