Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

$ L^{p}$ approximation of Fourier transforms and certain interpolating splines


Author: David C. Shreve
Journal: Math. Comp. 28 (1974), 779-787
MSC: Primary 65T05; Secondary 42A68
MathSciNet review: 0383803
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We extend to $ {L^p},1 \leqq p \leqq \infty $, the $ {L^2}$ results of Bramble and Hilbert on convergence of discrete Fourier transforms and on approximation using smooth splines. The main tools are the estimates of [1] for linear functionals on Sobolev spaces and elementary results on Fourier multipliers.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65T05, 42A68

Retrieve articles in all journals with MSC: 65T05, 42A68


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0383803-4
PII: S 0025-5718(1974)0383803-4
Article copyright: © Copyright 1974 American Mathematical Society