real analysis related issues & queries in MathXchanger

Closed operator and closed domain.

functional-analysis operator-theory
Updated October 17, 2019 05:20 AM

How to get the stationary distribution of $X_n$ which input and output balls in a box?

probability analysis probability-theory stochastic-processes
Updated October 17, 2019 05:20 AM

Find an upper bound for nth derivative of a holomorphic function

complex-analysis
Updated October 17, 2019 05:20 AM

Does $f$ being continuous, differentiable imply $f'$ is continuous

real-analysis derivatives continuity
Updated October 17, 2019 04:20 AM

Proving one multivariate function is always greater than another.

multivariable-calculus inequality vector-analysis
Updated October 17, 2019 04:20 AM

Is $C^2[0,1]$ closed in $L^2[0,1]$?

real-analysis
Updated October 17, 2019 04:20 AM

if $f \geq 0$ Lebesgue measurable the set $A := \{(x,y)\in \mathbb{R}^2 | 0 < y < f(x)\}$ is measurable - proof verification

real-analysis proof-verification measurable-sets
Updated October 17, 2019 04:20 AM

How large can the set of discontinuous points of a coordinately continuous function be?

real-analysis functions continuity discontinuous-functions
Updated October 17, 2019 04:20 AM

Is there a bounded, closed, uncountable subset of irrational numbers

real-analysis irrational-numbers
Updated October 17, 2019 04:20 AM

Uncountably many points with given derivative

real-analysis
Updated October 17, 2019 04:20 AM

Finding a nonempty perfect set with no rationals

real-analysis general-topology examples-counterexamples
Updated October 17, 2019 03:20 AM

directional derivative: relation between $g(\lambda) = f(\lambda x + (1-\lambda)y)$ and $f(u)$, where $u \in [x, y]$

calculus functional-analysis
Updated October 17, 2019 03:20 AM

Why is $f(x) = \frac{x^{n-1}}{(1+x^{2})^{k}}$ Lebesgue-integrable over $(0,\infty)$ for all $k > \frac{n}{2}$?

real-analysis measure-theory lebesgue-integral
Updated October 17, 2019 03:20 AM

If $Y$ is $\sigma(X)$-measurable, must $X$ be $\sigma(Y)$-measurable?

probability analysis measure-theory
Updated October 17, 2019 03:20 AM

Let $f:X \rightarrow Y$ uniformly continuous. if $A$ is bounded in $X$ the $f(A)$ is bounded in $Y$

real-analysis metric-spaces
Updated October 17, 2019 01:20 AM

I am trying to reach a contradiction here.

real-analysis metric-spaces compactness
Updated October 17, 2019 01:20 AM

Indefinite integral $\int \frac{1}{2-\cos(x)}\,dx$ has discontinuities. How to fix?

real-analysis calculus integration
Updated October 17, 2019 01:20 AM

Holder's inequality for $p=1$

real-analysis measure-theory
Updated October 17, 2019 00:20 AM

Show that, for each nonempty subset $\mathcal{N}$ of $\mathbb{N}$, the function...

real-analysis sequences-and-series metric-spaces
Updated October 17, 2019 00:20 AM

if {$f(x_n)$} is a Cauchy sequence then {$x_{n}$}?

real-analysis metric-spaces
Updated October 17, 2019 00:20 AM

Why is the set of sets U where $\mathbb R \setminus U$ is finite a topology?

real-analysis general-topology
Updated October 16, 2019 23:20 PM

Show $f(x)=\frac{1}{x}\sin(\frac{1}{x})$ is discontinuous at $0$ for any value given for $f(0)$

real-analysis sequences-and-series continuity piecewise-continuity
Updated October 16, 2019 23:20 PM

Orthonormal set in $L^2(0,1)$ that is not complete

functional-analysis hilbert-spaces
Updated October 16, 2019 22:20 PM

Find radius of convergence of the power series $\frac{\text{sin}^2(z)}{z}$

sequences-and-series complex-analysis power-series
Updated October 16, 2019 22:20 PM

$ a_n = \frac{a_{n-1}(a_{n-1} + 1)}{a_{n-2}}.$ and $ T = 3.73205080..$?

real-analysis limits recurrence-relations closed-form rational-functions
Updated October 16, 2019 22:20 PM

Extension of Caratheodory’s Theorem

geometry convex-analysis convex-optimization convex-geometry convex-hulls
Updated October 16, 2019 22:20 PM

Functions which converge pointwise to f, but $\int_E f_n$ does not converge to $\int_E f$ for some measurable $E$?

real-analysis measure-theory
Updated October 16, 2019 22:20 PM

Estimative for gradient of harmonic function

analysis pde harmonic-analysis maximum-principle
Updated October 16, 2019 22:20 PM

limit of sum of little-oh functions

real-analysis calculus limits summation approximation
Updated October 16, 2019 21:20 PM

A funtion is not continous in (C[a,b],\mathbb{R})

real-analysis metric-spaces
Updated October 16, 2019 21:20 PM

Showing that u(x,y) is a constant function

complex-analysis entire-functions
Updated October 16, 2019 21:20 PM

Proving implicit function theorem using the fixed point theorem

real-analysis proof-explanation
Updated October 16, 2019 21:20 PM

Finding what f is knowing its derivate.

calculus functional-analysis
Updated October 16, 2019 20:20 PM

Center of preimage of open ball

real-analysis analysis
Updated October 16, 2019 20:20 PM

Does an integral preserve strict inequality?

real-analysis integration inequality continuity integral-inequality
Updated October 16, 2019 20:20 PM

Properties of Riesz transform

real-analysis transformation
Updated October 16, 2019 19:20 PM

How to compute $\lim_{k\to\infty} \frac1{2k} \sum_{j=1}^k\frac{\sum_{m=0}^n \binom{n}m{(n-2m)}^{2k}}{2^n n^{2k}}$

real-analysis limits analysis
Updated October 16, 2019 19:20 PM

Order of zero of a function

complex-analysis roots
Updated October 16, 2019 19:20 PM

Sequence of roots of a sequence of polynomials

real-analysis polynomials
Updated October 16, 2019 18:20 PM

A simple-looking inequality

functional-analysis inequality
Updated October 16, 2019 18:20 PM

Non-integrable function max and sup

real-analysis integration proof-verification proof-explanation
Updated October 16, 2019 18:20 PM

Prove inequality $|y \ln{y} - x \ln{x}| < 2 |\ln{\frac{1}{|y-x|}}|$ when $x,y \in (0,1]$, $x \neq y$.

real-analysis inequality logarithms examples-counterexamples
Updated October 16, 2019 17:20 PM

What is the motivation to define lower (upper) semicontinuous functions

real-analysis continuity
Updated October 16, 2019 17:20 PM

Complex exponential reduction

complex-analysis complex-numbers
Updated October 16, 2019 16:20 PM

Kreysig Section 2.5 Question 8

real-analysis linear-algebra
Updated October 16, 2019 16:20 PM

Real Valued Function on the real line

real-analysis functions metric-spaces
Updated October 16, 2019 15:20 PM

Seminorm makes $W^{2,p}(\Omega)\cap W^{1,p}_0(\Omega)$ a Banach space

functional-analysis sobolev-spaces regularity-theory-of-pdes
Updated October 16, 2019 15:20 PM

Evaluate $\int F.nds$ where $F = 4zxi - y^{2}j + yzk, S$ is the surface of the cube bounded by $x=0,x=a,y =0, y=a, z=0, z=a$.

vector-analysis
Updated October 16, 2019 15:20 PM

Find the limit: $\lim\limits_{x\to\frac{\pi}{2}}(\sin x)^{\tan x}$

real-analysis analysis
Updated October 16, 2019 15:20 PM

bilinear transformation of a complex function

complex-analysis
Updated October 16, 2019 15:20 PM

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