Generalised trigonometric functions: Basis and regularity properties

dc.contributor.author	Boulton, L
dc.contributor.author	Melkonian, H
dc.date.accessioned	2018-07-30T10:36:55Z
dc.date.issued	2016-05-16
dc.description.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].	en_GB
dc.description.sponsorship	HM was supported by Heriot-Watt University under the Global Platform Scholarships Scheme.	en_GB
dc.identifier.citation	Vol. 444, pp. 25 - 46	en_GB
dc.identifier.doi	10.1016/j.jmaa.2016.06.024
dc.identifier.uri	http://hdl.handle.net/10871/33584
dc.language.iso	en	en_GB
dc.publisher	Elsevier	en_GB
dc.rights	© 2016 Elsevier Inc. All rights reserved.	en_GB
dc.subject	Generalised cosine functions	en_GB
dc.subject	Schauder basis properties	en_GB
dc.subject	p-Laplacian	en_GB
dc.title	Generalised trigonometric functions: Basis and regularity properties	en_GB
dc.type	Article	en_GB
dc.date.available	2018-07-30T10:36:55Z
dc.identifier.issn	0022-247X
dc.description	This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record	en_GB
dc.identifier.journal	Journal of Mathematical Analysis and Applications	en_GB