Generalised cosine functions, basis and regularity properties

Lyonell Boulton, Houry Melkonian

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
51 Downloads (Pure)


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, $p_0 2$, such that this family is a Schauder basis of $L_s(0,1)$ for all $s>1$ and $p\in[p_0,p_1]$.
Original languageEnglish
Pages (from-to)25–46
Number of pages22
JournalJournal of Mathematical Analysis and Applications
Issue number1
Early online date16 Jun 2016
Publication statusPublished - 1 Dec 2016


  • math.CA
  • Primary: 42A16, Secondary: 42A65


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