Pointwise convergence means at every point the sequence of functions has its own speed of convergence (that can be very fast at some points and very very very very slow at others). Imagine …

Jul 8, 2019 · When talking vectors/matrices/tensors, pointwise is best avoided because it is decently ambiguous, since vectors can be interpreted as points. So a pointwise multiplication might just be …

Apr 27, 2019 · Pointwise convergence is defined through the normed space's norm in the book that I am reading. I still don't get why "wrt the norm" would be rubbish, considering that the definition I have …

Dec 16, 2023 · The theorems about the Lebesgue integral require only pointwise convergence + some other condition. Actually, this is one of the main advantages of Lebesgue integration over Riemann …

Dec 16, 2024 · Why is a locally Hölder continuous and bounded function pointwise Hölder continuous? Ask Question Asked 11 months ago Modified 11 months ago

Sep 25, 2015 · For the math term of projection Wikipedia links to "function composition", whose page in turn links to "pointwise". The question is: What is “pointwise”, in the context of function composition?

May 14, 2017 · $\left (2\right)$ What is the difference between boundedness, pointwise boundedness, and uniform boundedness? $\left (3\right)$ If my function is bounded for all $x$, does this imply that …

Is there a notation for element-wise (or pointwise) operations? For example, take the element-wise product of two vectors x and y (in Matlab, x .* y, in numpy x*y), producing a new vector of same ...

Jul 3, 2022 · When Gilbarg and Trudinger introduced the Hölder spaces, they mentioned on page 52 that Furthermore note that local Hölder continuity is a stronger property than pointwise Hölder …

Feb 5, 2017 · I'm reading about the definition of exponential function on $\\Bbb R$ and I came across a definition of pointwise convergence which I don't understand: We say that a sequence of functions …