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 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

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 as one …

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 multi …

Nov 13, 2020 · In the answer of my other question: Monotonicity of Convex/Concave Function's Gradient Function in High Dimension, URL (version: 2020-11-13), user daw gives a definition with

4 days ago · Can I say Gn(x,y) G n (x, y) is decreasing w.r.t. n n for every fixed (x,y) (x, y)? My reasoning is: F−1 n ∘Fn = Id F n 1 ∘ F n = I d constant in n n, so if I multiply by an extra copy of Fn F …

Nov 22, 2022 · Strong convexity and strong monotonicity of the sub-differential Ask Question Asked 3 years ago Modified 2 years, 11 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 doing so …

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 integral, and so we …

Oct 3, 2017 · Proof, monotonicity of measurable sets (lebesgue measure) Ask Question Asked 8 years, 2 months ago Modified 4 years, 1 month ago