Skip to main content
SpringerLink
Log in

Handbook of Means and Their Inequalities

  • Book
  • © 2003

Overview

Authors:
  1. P. S. Bullen

    1. Department of Mathematics, University of British Columbia, Vancouver, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 560)

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

Access this book

Log in via an institution
eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
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

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-xxvii
    Download chapter PDF

  2. Introduction

    • P. S. Bullen
    Pages 1-59

  3. The Arithmetic, Geometric and Harmonic Means

    • P. S. Bullen
    Pages 60-174

  4. The Power Means

    • P. S. Bullen
    Pages 175-265

  5. Quasi-Arithmetic Means

    • P. S. Bullen
    Pages 266-320

  6. Symmetric Polynomial Means

    • P. S. Bullen
    Pages 321-367

  7. Other Topics

    • P. S. Bullen
    Pages 368-438

  8. Back Matter

    Pages 439-537
    Download chapter PDF
Back to top

Keywords

About this book

There seems to be two types of books on inequalities. On the one hand there are treatises that attempt to cover all or most aspects of the subject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such, that brought some order to this untidy field, is the classical "Inequalities" of Hardy, Littlewood & P6lya, published in 1934. Important as this outstanding work was and still is, it made no attempt at completeness; rather it consisted of the total knowledge of three front rank mathematicians in a field in which each had made fundamental contributions. Extensive as this combined knowledge was there were inevitably certain lacunre; some important results, such as Steffensen's inequality, were not mentioned at all; the works of certain schools of mathematicians were omitted, and many important ideas were not developed, appearing as exercises at the ends of chapters. The later book "Inequalities" by Beckenbach & Bellman, published in 1961, repairs many of these omissions. However this last book is far from a complete coverage of the field, either in depth or scope.

Reviews

"This book is indeed a handbook: it is hard to find a subfield of inequalities related to means that is not described in detail, or at least referred to. It is written in a language that can be understood not only by experts but also by graduate students and others who are interested in the applications: the only requirement on readers is a knowledge of calculus and elementary real analysis."--MATHEMATICAL REVIEWS

Authors and Affiliations

  • Department of Mathematics, University of British Columbia, Vancouver, Canada

    P. S. Bullen

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation