Skip to main content

Part of the book series: CMS Books in Mathematics ((CMSBM))

  • 615 Accesses

Abstract

In this chapter, we obtain further upper (and lower) bounds on orthogonal polynomials and on their L p norms. We also estimate fundamental polynomials of Lagrange interpolation, and spacing of zeros of orthogonal polynomials. We shall often need more than WF(lip1/2). Recall from Chapter 1 that we defined WF(lip1/2+) if both WF(lip1/2) and for each L>1, there exists C>0 and t 0 such that

$$ Q'\left( {{a_{{Lt}}}} \right)/Q'\left( {{a_{t}}} \right) \geqslant 1 + C,\left| t \right| \geqslant {t_{0}}. "$$

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook
USD 9.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media New York

About this chapter

Cite this chapter

Levin, E., Lubinsky, D.S. (2001). Further Bounds and Applications. In: Orthogonal Polynomials for Exponential Weights. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0201-8_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0201-8_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6563-4

  • Online ISBN: 978-1-4613-0201-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics