New posts in real-analysis

Problem 3 chapter 12 Jost Postmodern analysis

real-analysis self-learning semicontinuous-functions

Generalization of Dirichlet integral

real-analysis integration

$\dfrac{\partial^2 f}{\partial x \partial y} = 0 \nRightarrow f(x,y) = g(x) + h(y)$

real-analysis multivariable-calculus derivatives partial-derivative

Limit of the quotient of sums of recurrent relations

real-analysis calculus sequences-and-series limits recurrence-relations

Largest $\sigma$-algebra on which an outer measure is countably additive

real-analysis analysis measure-theory

Proof of a theorem of Cauchy's on the convergence of an infinite product

real-analysis sequences-and-series convergence-divergence infinite-product

Every path has a simple "subpath"

real-analysis general-topology analysis

Practical applications of the $L^p$ norm when $p \neq 1,2,\infty$

real-analysis functional-analysis optimization numerical-methods

Functions satisfying $\sum_{n=0}^k(-1)^n\binom{k}{k-n}f^{k-n}(x)=0$.

real-analysis functional-equations

Is it possible for a set to contain both cluster and isolated points?

real-analysis

Definition of Banach limit

real-analysis functional-analysis

Find $\sum_{n=1}^{\infty}\int_0^{\frac{1}{\sqrt{n}}}\frac{2x^2}{1+x^4}dx$

real-analysis integration sequences-and-series

Is $GL_2(\mathbb Z)\cdot X$ a dense subset of $\mathbb R^2$?

real-analysis general-topology group-actions

Is every real valued function on an interval a sum of two functions with Intermediate Value Property?

real-analysis functions

Show that $\sum\limits_pa_p$ converges iff $\sum\limits_{n}\frac{a_n}{\log n}$ converges

real-analysis sequences-and-series convergence-divergence prime-numbers analytic-number-theory

Is the function $d(x,y) = \frac{\|x-y\|}{\|x\|\|y\|}$ a metric?

real-analysis metric-spaces

Is there a “nice” “constructive” field of numbers?

real-analysis computability constructive-mathematics

Approximating smooth function on $[0,1]$ by Bernstein polynomial (interested in approximation rate in $L^2$ norm)

real-analysis functions polynomials reference-request approximation-theory

Proving $f : (-1, 1) \rightarrow \mathbb{R}$ has a property

real-analysis functions

What is Tarski’s definition of real number multiplication?

real-analysis logic real-numbers ordered-fields second-order-logic