title: Decay of (p,q)-Fourier coefficients.
abstract: We show that essentially the speed of decay of the Fourier sine coefficients of a function in a Lebesgue space is comparable to that of the corresponding coefficients with respect to the basis formed by the generalized sine functions sinp,q.
authors.affiliation: Department of Mathematics , University of Sussex , Pevensey 2 Building, Falmer Campus, Brighton BN1 9QH, UK.
authors.forename: David E
authors.initials: DE
authors.lastname: Edmunds
authors.affiliation: Department of Mathematics , Czech University of Life Sciences Prague , 165 21 Prague 6, Czech Republic.
authors.forename: Petr
authors.initials: P
authors.lastname: Gurka
authors.affiliation: Department of Mathematics , Ohio State University , 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA.
authors.forename: Jan
authors.initials: J
authors.lastname: Lang
keywords: basis properties; decay of Fourier coefficients; generalized trigonometric functions