Skip to main content

Some Inequalities

  • Chapter
Applied Analysis

Part of the book series: Mathematics and Its Applications ((MAIA,volume 31))

  • 576 Accesses

Abstract

We are all familiar with the triangle inequality in its geometric form as well as its expression in terms of analytic geometry. This fundamental rule has a number of extensions which are quite useful. In addition there are some other very useful inequalities, which are closely related to the triangle inequality. We state them with a suitable derivation or proof immediately following.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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.

References

  1. N. Dunford and J. T. Schwartz, “Linear Operators, vol. I,” Interscience, New York, 1958.

    Google Scholar 

  2. P. R. Halmos, “Finite Dimensional Vector Spaces,” Van Nostrand, New York, 1958.

    MATH  Google Scholar 

  3. E. Hewitt and K. Stromberg, “Real and Abstract Analysis,” Springer-Verlag, New York, 1965.

    MATH  Google Scholar 

  4. E. J. McShane, “Integration,” Princeton University Press, Princeton, New Jersey, 1944.

    MATH  Google Scholar 

  5. F. Riesz and B. Sz-Nagy, “Functional Analysis,” Frederick Ungar, New York, 1955.

    Google Scholar 

  6. M. H. Stone, “Linear Transformations in Hilbert Space,” American Mathematical Society, New York, 1966.

    Google Scholar 

  7. A. E. Taylor, “Introduction to Functional Analysis,” John Wiley and Sons, New York, 1958.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1986 D. Reidel Publishing Company, Dordrecht, Holland

About this chapter

Cite this chapter

Krall, A.M. (1986). Some Inequalities. In: Applied Analysis. Mathematics and Its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4748-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-4748-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-2342-0

  • Online ISBN: 978-94-009-4748-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics