real analysis related issues & queries in MathXchanger

Triangle inequality in $L^p$

real-analysis functional-analysis measure-theory lp-spaces
Updated June 16, 2019 11:20 AM

Find bound for inverse of linear map

real-analysis linear-algebra functional-analysis
Updated June 16, 2019 11:20 AM

Show that $\mathscr{E}(\Omega)$ is a complete metric space, i.e. the Frechet Space is complete.

functional-analysis distribution-theory complete-spaces
Updated June 16, 2019 11:20 AM

Convergence of the sequence $\left\{x_n\right\}$ where $x_n = \frac{1}{1.3}+\frac{1}{2.5}+...\frac{1}{n(2n+1)}$

real-analysis sequences-and-series eulers-constant
Updated June 16, 2019 10:20 AM

Calculate $\displaystyle\lim_{x\rightarrow 0^+} \int_0^1 \ln(1+\sin(tx))dt$

real-analysis
Updated June 16, 2019 10:20 AM

Existance of open sets $U, V$ of matrices such that for every $A \in U$ there exists $B \in V$ such that $B^4 = A$

real-analysis linear-algebra matrices
Updated June 16, 2019 08:20 AM

Uniform convergence on $R_0$ implies uniform convergence on R

real-analysis convergence continuity uniform-convergence
Updated June 16, 2019 08:20 AM

Prove $f(x^D)\geq1$: $f$ is a log-concave density and $\frac{1-2F(x^D)}{f(x^D)}=x^D-\frac{1}{2}$

calculus real-analysis probability-theory economics
Updated June 16, 2019 08:20 AM

characteristic function of a clopen set continuous?

analysis continuity characteristic-functions
Updated June 16, 2019 07:20 AM

How to show Cantor set is dense in itself?

real-analysis proof-verification cantor-set
Updated June 16, 2019 07:20 AM

Axi symmetric Navier Stokes equations in the vorticity form

real-analysis analysis pde cylindrical-coordinates parabolic-pde
Updated June 16, 2019 06:20 AM

dominated convergence theorem for Riemann-Stieltjes integral

real-analysis measure-theory
Updated June 16, 2019 06:20 AM

If $\int_0^1 f(x+\theta(y-x))d\theta \leq \frac{f(x)+f(y)}{2}$ then f is convex

integration convex-analysis convex-optimization
Updated June 16, 2019 06:20 AM

How to solve $ \int \frac{x + \sqrt{2}}{x^2 + \sqrt{2} x + 1} dx $?

integration analysis indefinite-integrals
Updated June 16, 2019 04:20 AM

Everywhere analytic Function

complex-analysis
Updated June 16, 2019 04:20 AM

Why does this sequence fail to converge in this space?

real-analysis complex-analysis analysis
Updated June 16, 2019 04:20 AM

Confusion in notation of Lusin's Theorem

real-analysis analysis functions
Updated June 16, 2019 03:20 AM

why can we know when constraint set is non-empty,then duality gap must be zero

optimization convex-analysis convex-optimization
Updated June 16, 2019 02:20 AM

If $\lim\limits_{x \to \pm \infty} \frac{f(x)}{x} = +\infty$ then $\lim\limits_{x \to \pm \infty} \frac{\int_0^x f(s) \; ds}{x} = +\infty$

real-analysis
Updated June 16, 2019 02:20 AM

How to compute $\sum_{k=1}^{\infty}{\frac{1}{k^2+2k}}$?

real-analysis sequences-and-series
Updated June 16, 2019 00:20 AM

f:[1,∞)->R a uniformly continuous function and An=f(n) is a series. Prove that if limit An in infinity is plus infinity, then limit f(x) is

real-analysis calculus
Updated June 16, 2019 00:20 AM

What set $Y$ that $C_{c}(U) \subset Y$ and $Y$ separable w.r.t. $\vert \vert \cdot \vert \vert_{\infty}$

real-analysis functional-analysis metric-spaces compactness lp-spaces
Updated June 15, 2019 23:20 PM

proving the solution of a PDE is $C^{\infty}$ on a closed set

real-analysis pde continuity linear-pde
Updated June 15, 2019 23:20 PM

Using Cauchy's integral formula for several points

complex-analysis
Updated June 15, 2019 22:20 PM

Showing that $u\in H^k(\mathbb{R}^n)\Leftrightarrow <\xi>^k\hat{u}\in L^2(\mathbb{R}^n)$ Taylor Michael.

fourier-analysis sobolev-spaces fourier-transform
Updated June 15, 2019 21:20 PM

Decomposing functions to Taylor-Fourier series

complex-analysis fourier-analysis recurrence-relations
Updated June 15, 2019 21:20 PM

Is this spectrum-shifting operator well-defined?

functional-analysis hilbert-spaces operator-algebras
Updated June 15, 2019 21:20 PM

Compact operator in finite dimensional space.

real-analysis linear-algebra functional-analysis
Updated June 15, 2019 20:20 PM

How to complete this uniform convergence proof by dividing the real line in appropriate segments?

real-analysis proof-verification uniform-convergence
Updated June 15, 2019 20:20 PM

Bounded below to imply the other sequence is bounded above

real-analysis sequences-and-series
Updated June 15, 2019 19:20 PM

Is there a relatively small $c$ so that $e^x-\sum\limits_{n=0}^{c \cdot x} \frac{x^n}{n!} < 1$?

real-analysis
Updated June 15, 2019 18:20 PM

More details about the proof of Proposition 2.7(ii)

complex-analysis
Updated June 15, 2019 18:20 PM

Show that a meromorphic function on a compact Riemann surface can have a simple pole anywhere.

complex-analysis riemann-surfaces meromorphic-functions
Updated June 15, 2019 18:20 PM

Prove monotonicity of $a_n=\left(1-\frac{1}{n}\right)^n$

real-analysis sequences-and-series
Updated June 15, 2019 18:20 PM

Calculation of integral with different roots

real-analysis integration definite-integrals
Updated June 15, 2019 18:20 PM

Find the value of $\frac{t^{4012}+37}{2}$

algebra-precalculus real-numbers radicals
Updated June 15, 2019 17:20 PM

Cauchy-Hadamard with Triple Powers

real-analysis sequences-and-series
Updated June 15, 2019 16:20 PM

Completeness of $\ell^2$ space

functional-analysis metric-spaces banach-spaces lp-spaces
Updated June 15, 2019 16:20 PM

How to show that the normed space $(\ell^2, \|\cdot\|_2)$ is complete

analysis functional-analysis normed-spaces
Updated June 15, 2019 16:20 PM

Do we have $|\delta_n(s)|\le |s|/n^{\sigma+1}$?

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

Calculate $\lim\limits_{x\rightarrow 0} \frac{\int\limits^{1-\cos x}_{\sqrt[3]{ x^7}} \ln (2+\tan^2 t) dt}{x^2}$

real-analysis
Updated June 15, 2019 15:20 PM

I'd like to know the improper integral's convergence section(picture)

real-analysis
Updated June 15, 2019 15:20 PM

How to find the following limit regarding integral

real-analysis integration
Updated June 15, 2019 15:20 PM

A sequence of functionals without a weak-* convergent subsequence

general-topology functional-analysis weak-convergence weak-topology
Updated June 15, 2019 15:20 PM

inclusion complemented spaces

functional-analysis set-theory
Updated June 15, 2019 15:20 PM

radius of convergence proof confusion

real-analysis sequences-and-series
Updated June 15, 2019 14:20 PM

Evaluating integral using Cauchy Formula

complex-analysis complex-integration cauchy-integral-formula
Updated June 15, 2019 14:20 PM

Discontinuous real valued functions as a Banach space-valued functions

functional-analysis pde banach-spaces discontinuous-functions
Updated June 15, 2019 14:20 PM

How to solve this integral inquality?

real-analysis integration fourier-transform
Updated June 15, 2019 14:20 PM

Complex analysis function exercise

complex-analysis
Updated June 15, 2019 13:20 PM

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