study

The space L^p is then defined as the set of all infinite sequences of real (or complex) numbers such that the p-norm is finite.

One can check that as p increases, the set L^p grows larger. For example, the sequence

$\left(1,\,\frac{1}{2},\,\cdots,\,\frac{1}{n},\,\frac{1}{n+1},\,\cdots\right)$
is not in L¹, but it is in L^p for p>1, as the series

$1^p+\frac{1}{2^p}+\cdots+\frac{1}{n^p}+\frac{1}{(n+1)^p}+\cdots$
diverges for p=1 (the harmonic series), but is convergent for p>1.

Applying the Haar Wavelet Transform to Time Series Information and some links

All the works in this site except software and copyrighted materials by others (e.g., 문학) are licensed under a Creative Commons License. 소프트웨어 및 문학과 같이 다른 이에게 저작권이 있는 작품을 제외하고 모두 크리에이티브 커먼즈 라이센스를 따른다.

Mon Mar 25 01:30:39 2024 . XHTML . CSS (lightbox.css is not part of Uniqki. ;-) . Powered by Uniqki!

refresh . edit . loginout . index