| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613867 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
Abstract
We examine regularity and basis properties of the family of rescaled p -cosine functions. We find sharp estimates for their Fourier coefficients. We then determine two thresholds, p0<2p0<2 and p1>2p1>2, such that this family is a Schauder basis of Ls(0,1)Ls(0,1) for all s>1s>1 and p∈[p0,p1]p∈[p0,p1].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lyonell Boulton, Houry Melkonian,