Journal
Journal of Mathematical Analysis and Applications
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 < 2 and p1 > 2, such that this family is a Schauder basis of
Ls(0, 1) for all s > 1 and p ∈ [p0, p1].