Newbetuts

Characterization of $C^{k,\alpha}$ (functions with Hölder continuous derivatives) through Taylor estimates

Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?

Do any authors take the sheaf-theoretic viewpoint on multivalued functions and/or indefinite integrals?

What uniquely characterizes the germ of a smooth function?

$f$ is uniformly continuity

Can we approximate a.e. invertible matrices with everywhere invertible matrices in $L^2$ sense?

Proving monotonicity of this ratio of Hypergeometric functions

How should I prove $\lim_{x \to \infty} \frac{1}{x^3} = 0$

Second derivative of mollification at local maximum

Gradient nonzero extensions of a vector field on the circle

A travelled inequality found by discriminant

Convergence of $\sum_{n=1}^\infty (-1)^n(\sqrt{n+1}-\sqrt n)$

Riesz Representation Theorem for $\ell^p$

Showing that $\sin(\sqrt{4 \pi^{2}n^{2} + x})$ converges uniformly on $[0,1]$

New posts in real-analysis

Mistake in proof of Lemma 2.3 in Chapter 3 of Stein and Shakarchi's Fourier Analysis

If $f : A \to B$ and $B$ is countable, given that $f$ is surjective, $A$ is countable.

Elementary proof of $f>0$ implies $\int f>0$?

If $f$ is integrable, then I can bring continuous functions from above or below

Theorem 6.16 in Baby Rudin: $\int_a^b f d \alpha = \sum_{n=1}^\infty c_n f\left(s_n\right)$

An inverse question inspired by Cauchy–Schwarz inequality [duplicate]

Characterization of $C^{k,\alpha}$ (functions with Hölder continuous derivatives) through Taylor estimates

Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?

Do any authors take the sheaf-theoretic viewpoint on multivalued functions and/or indefinite integrals?

What uniquely characterizes the germ of a smooth function?

$f$ is uniformly continuity

Can we approximate a.e. invertible matrices with everywhere invertible matrices in $L^2$ sense?

Proving monotonicity of this ratio of Hypergeometric functions

How should I prove $\lim_{x \to \infty} \frac{1}{x^3} = 0$

Second derivative of mollification at local maximum

Gradient nonzero extensions of a vector field on the circle

A travelled inequality found by discriminant

Convergence of $\sum_{n=1}^\infty (-1)^n(\sqrt{n+1}-\sqrt n)$

Riesz Representation Theorem for $\ell^p$

Showing that $\sin(\sqrt{4 \pi^{2}n^{2} + x})$ converges uniformly on $[0,1]$