Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Classical Analysis and ODEs

arXiv:1501.03655 (math)
[Submitted on 15 Jan 2015]

Title:The approximation of almost time and band limited functions by their expansion in some orthogonal polynomials bases

Authors:Philippe Jaming (IMB), Abderrazek Karoui, Susanna Spektor
View PDF
Abstract:The aim of this paper is to investigate the quality of approximation of almost time and almost band-limited functions by its expansion in three classical orthogonal polynomials bases: the Hermite, Legendre and Chebyshev bases. As a corollary, this allows us to obtain the quality of approximation in the L 2 --Sobolev space by these orthogonal polynomials bases. Also, we obtain the rate of the Legendre series expansion of the prolate spheroidal wave functions. Some numerical examples are given to illustrate the different results of this work.
Comments: arXiv admin note: substantial text overlap with arXiv:1407.1293
Subjects: Classical Analysis and ODEs (math.CA); Numerical Analysis (math.NA)
Cite as: arXiv:1501.03655 [math.CA]
  (or arXiv:1501.03655v1 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1501.03655
Related DOI: https://doi.org/10.1016/j.jat.2016.08.002

Submission history

From: Philippe Jaming [view email] [via CCSD proxy]
[v1] Thu, 15 Jan 2015 12:49:12 UTC (217 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.CA
< prev   |   next >
new | recent | 2015-01
Change to browse by:
math
math.NA

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)