New posts in supremum-and-infimum

Find the supremum of the following set

analysis supremum-and-infimum

Prove that $\inf A = 0$ for $A = \{ m + nx: m,n, \in \mathbb{Z}~\text{and}~m+ nx >0 \}$ with positive irrational $x$.

real-analysis supremum-and-infimum

On an asymptotic improvement of AMM problem 11145 (April 2005)

real-analysis limits inequality summation supremum-and-infimum

Definitions of supremum

real-analysis real-numbers supremum-and-infimum

Proof that $\inf A = \sup B$

real-analysis proof-verification supremum-and-infimum

$\sup_K |\partial^{\alpha}u|\le C^{|\alpha|+1}\alpha!^s$ then $u$ is analytic for $s\le 1$

real-analysis partial-differential-equations supremum-and-infimum wave-equation

Convex function can be written as supremum of some affine functions

real-analysis convex-analysis supremum-and-infimum

Supremum is continuous over equicontinuous family of functions

real-analysis supremum-and-infimum equicontinuity

Why is the lagrange dual function concave?

lagrange-multiplier supremum-and-infimum

infimum, supremum of the sequence $\{\sin n\}$

sequences-and-series convergence-divergence supremum-and-infimum

Infimum of a Set Involving Probability

real-analysis probability elementary-set-theory solution-verification supremum-and-infimum

Prove that $Sup(A + B) = Sup(A) + Sup(B)$

real-analysis supremum-and-infimum sumset

Following up with a previous question on $\sup(A)+\sup(B) = \sup(A + B)$

real-analysis supremum-and-infimum sumset

Find the supremum of the set $A=\{\cos(10^n)\mid n\in\mathbb{N} \}$

real-analysis trigonometry supremum-and-infimum

$\inf$ and $\sup$ of a set given by $\sum\limits_{k=1}^{n}\frac{a_{k}}{a_{k}+a_{k+1}+a_{k+2}}$

real-analysis inequality optimization supremum-and-infimum

Prove that $\sup S \leq \inf T$. [duplicate]

real-analysis analysis inequality supremum-and-infimum solution-verification

Prove that the sum of the infima is smaller than the infimum of the sum

real-analysis inequality supremum-and-infimum

Show that $\inf(\frac{1}{n})=0$.

real-analysis sequences-and-series proof-verification supremum-and-infimum

If $f$ is continuous on $[a,b]$ and $F(x) = \sup f([a,x])$. Prove that $F$ is continuous on $[a,b]$ . [duplicate]

real-analysis continuity supremum-and-infimum

Example of Erdos-Szekeres bound being tight

sequences-and-series supremum-and-infimum