New posts in real-analysis

Show that a set $D$ is measurable with respect to a product measure $m \times \nu$, (lebesgue $\times$ counting measure)

real-analysis measure-theory

how can we convert sin function into continued fraction?

calculus real-analysis functions

Is $C^{\infty}([0,1])$ a Banach space?

real-analysis functional-analysis banach-spaces

Limit of an integral (remainder term of a Euler-Maclaurin expansion)

real-analysis integration limits

Can we inverse the mean values theorem?

real-analysis derivatives

Restriction of smooth functions.

real-analysis differential-geometry differential-topology

Existence of a Minimal Cover

real-analysis general-topology measure-theory covering-spaces

$A$ is open iff it is union of open balls

real-analysis general-topology

Open Measurable Sets Containing All Rational Numbers

real-analysis measure-theory

convergence of $\sum\limits_{n=1}^\infty \frac{(-1)^{\lfloor \sqrt{n}\rfloor}}{\sqrt{n}}$

real-analysis sequences-and-series

The limit points of an open interval (open set)

real-analysis general-topology

$f'(x)=f(x)$ and $f(0)=0$ implies that $f(x)=0$ formal proof

Probabilistic techniques, methods, and ideas in ("undergraduate") real analysis

calculus real-analysis probability soft-question big-list

On a proof of Riesz-Fischer Theorem

real-analysis functional-analysis limits measure-theory proof-verification

Is the sequence defined by the recurrence $ a _ { n + 2 } = \frac 1 { a _ { n + 1 } } + \frac 1 { a _ n } $ convergent? [duplicate]

real-analysis sequences-and-series limits convergence-divergence recurrence-relations

Invertiblity of the Derivative Matrix ?! (to use Inverse function Theorem)

real-analysis linear-algebra derivatives determinant implicit-function-theorem

Prob. 8, Sec. 3.5 in Erwin Kreyszig's Introductory Functoinal Anlaysis With Applications

real-analysis analysis functional-analysis hilbert-spaces inner-products

Hölder continuous functions are of 1st category in $C[0,1]$

real-analysis general-topology functional-analysis baire-category holder-spaces

Dominated convergence theorem for complex-valued functions?

real-analysis integration limits probability-theory convergence-divergence

Equality in Hardy's inequality via Hölder's

real-analysis inequality