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New posts in supremum-and-infimum
If $U$ is a real measurable function s.t. $\int_{B_1(x)}\frac{1}{U(y)} dy\to 0$, does $\int_{B_1(x)}\frac{1}{U(y)+a} dy\to 0$, too?
real-analysis
calculus
integration
functional-analysis
supremum-and-infimum
Supremum of all y-coordinates of the Mandelbrot set
fractals
chaos-theory
supremum-and-infimum
complex-dynamics
Let $A,B \subset \mathbb{R}$. Show that $\sup(A \cup B) = \max\{\sup A, \sup B\}$
real-analysis
supremum-and-infimum
Why this definition of integrability by sup and inf integrals is necessary?
calculus
real-analysis
integration
supremum-and-infimum
Proving $\sup_n\mathbb{E} {[|X_n|^2]}\le \left( \sup_n\mathbb{E} {[|X_n|^p]}\right)^{2/p}$
probability-theory
inequality
expected-value
supremum-and-infimum
How to show $-\sup(-A)=\inf(A)$?
real-analysis
supremum-and-infimum
"sup" in an equation
notation
supremum-and-infimum
How do I compute the maximum value of the solution of this differential equation?
ordinary-differential-equations
supremum-and-infimum
initial-value-problems
max and min versus sup and inf [closed]
real-analysis
definition
supremum-and-infimum
Proof that $\inf A = -\sup(-A)$
real-analysis
proof-verification
supremum-and-infimum
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
real-analysis
supremum-and-infimum
sumset
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