Sobolev spaces and Lagrange interpolation

Details Sobolev spaces and Lagrange interpolation Sobolev spaces and Lagrange interpolation

2012-01-23

arxiv.org/abs/1201.4708v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

In this short paper the discussion of the pointwise characterization of functions $f$ in the Sobolev space $W^{m,p}(\R^n)$ given in the recent paper (Bojarski) is supplemented in \SS1 by a direct, essentially geometric, proof of the novel inequality (for $m>1$), appearing in Bojarski apparently for the first time, and involving the use of the $m$-th difference of the function $f$. Moreover in \SS2 some additional comments to the text in Bojarski are given and a natural class of Sobolev spaces in domains $G$ in $\R^n$ is defined. \SS3 contains some final remarks.

Affiliated with

Also associated with

No associations

Rating

Sobolev spaces and Lagrange interpolation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sobolev spaces and Lagrange interpolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sobolev spaces and Lagrange interpolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497836