New posts in real-analysis

Prove there exists $[a,b] \subset [0,1]$ such that $\int_a^b f(x)\,dx=\int_a^b g(x)\,dx=\frac{ 1}n$ [duplicate]

real-analysis algebraic-topology

Evaluate $\sum \limits_{n=1}^\infty \frac1{L_n}$ where $L_n$ is least common multiple of $1, 2, 3,\ldots,n$

real-analysis sequences-and-series

$L^{2}(\mathbb R)$- norm of entire function

real-analysis complex-analysis convergence-divergence

An infinite series expansion in terms of the polylogarithm function

real-analysis complex-analysis special-functions hilbert-spaces

Prove that a compact metric space can be covered by open balls that don't overlap too much.

real-analysis metric-spaces compactness

Existence of a specific reordering bijection

real-analysis analysis convergence-divergence

Inverse of a differentiable function equal to its derivative then f is analytic

real-analysis derivatives analyticity

Motivation behind Dedekind's cut set

real-analysis intuition

Is $e = \sum_n 1/n!$ the most efficient sequence of denominators for rational series for $e$?

real-analysis sequences-and-series approximation

Understanding what people mean in PDEs

real-analysis partial-differential-equations

$[0,1]\cap\mathbb{Q}$ is not compact in $\mathbb{Q}$

real-analysis general-topology analysis compactness

$f:X \to Y $ is continuous on $X$ and $(X, d_1) $ is compact. Then $f:X\to Y$ is uniformly continuous on $X$

real-analysis metric-spaces solution-verification proof-explanation

question about decomposition of positive terms series $\sum_{n=1}^\infty a_k$ where $a_k=b_k + c_k$

real-analysis sequences-and-series

Prove that Cantor function is Hölder continuous

real-analysis measure-theory holder-spaces

Limit $\lim_{n \to \infty} \left( 1 - e^{- t} \right)^n$

real-analysis limits

What are the "right" spaces for the Laplace transform

real-analysis analysis functional-analysis harmonic-analysis integral-transforms

Comparison of integrals

real-analysis integration

Prove that $f_n(x)=\frac{x}{n}$, $n=1,2,\ldots$ does not converge uniformly on $\mathbb{R}$

calculus real-analysis proof-verification continuity

Alternate Characterization of Linearity

real-analysis linear-algebra matrices geometry education

Relationship between l'Hospital's rule and the least upper bound property.

real-analysis limits-without-lhopital reverse-math