New posts in uniform-convergence

Settle a classroom argument - do there exist any functions that satisfy this property involving Taylor polynomials?

calculus sequences-and-series convergence-divergence taylor-expansion uniform-convergence

Check the uniform convergence of series of functions

sequences-and-series convergence-divergence uniform-convergence

Uniform Convergence of Difference Quotients to Partial Derivative

real-analysis partial-differential-equations uniform-convergence

Uniform convergence in the endpoints of an interval

real-analysis power-series uniform-convergence

Pointwise convergence of this function

limits uniform-convergence sequence-of-function pointwise-convergence

The limit of sequence of functions

real-analysis uniform-convergence sequence-of-function pointwise-convergence

Question on Stein and Shakarchi's proof of Proposition 2.5 ($f(x-h) \rightarrow f$ in $L^1$ as $h \rightarrow 0$)

real-analysis analysis normed-spaces uniform-convergence pointwise-convergence

$f_n$ is differentiable on $[a,b]$ and $\lim_{n\to\infty}f_n(x)$ exists for each $x$, Suppose $|f_n'(x)|\leq M$, can we show $f$ is differentiable?

calculus sequences-and-series uniform-convergence

Uniform limit theorem and continuity at infinity

limits continuity uniform-convergence

Proof of uniform limit of Continuous Functions

real-analysis continuity uniform-convergence

For what $\alpha$ is the series uniformly convergent on $[0,\infty)$

real-analysis sequences-and-series uniform-convergence

Omitting the hypotheses of finiteness of the measure in Egorov theorem

real-analysis measure-theory uniform-convergence

Uniformity in convergence of the series $\sum_{n=0}^\infty f_n(x)=\sum_{n=0}^\infty (-1)^nx^n(1-x),~~x \in [0,1]$ [duplicate]

sequences-and-series analysis convergence-divergence uniform-convergence

Sequence of functions - showing the series converges uniformly

sequences-and-series analysis convergence-divergence uniform-convergence

Bump functions whose derivatives $f^{(n)}(x)$ converge to $0$ uniformly as $n\to\infty$

real-analysis functions derivatives examples-counterexamples uniform-convergence

Do the polynomials $(1+z/n)^n$ converge compactly to $e^z$ on $\mathbb{C}$?

complex-analysis complex-numbers exponential-function uniform-convergence

Uniform convergence of derivatives, Tao 14.2.7.

real-analysis convergence-divergence uniform-convergence

Uniform convergence on $[0,+\infty[$ of the series $\sum_{n=1}^{+\infty} \frac{\mathrm e^{-nx}\sin (nx)}{\sqrt n}$

real-analysis sequences-and-series uniform-convergence

When does pointwise convergence imply uniform convergence?

real-analysis sequences-and-series functional-analysis uniform-convergence

Showing that a sequence of function does not converge uniformly [duplicate]

real-analysis uniform-convergence sequence-of-function