Skip to main content
  • Book
  • © 1992

Norm Inequalities for Derivatives and Differences

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1536)

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
  2. Introduction

    • Man Kam Kwong, Anton Zettl
    Pages 1-2
  3. Unit weight functions

    • Man Kam Kwong, Anton Zettl
    Pages 3-34
  4. The norms of y,y′,y″

    • Man Kam Kwong, Anton Zettl
    Pages 35-83
  5. Weights

    • Man Kam Kwong, Anton Zettl
    Pages 84-116
  6. The difference operator

    • Man Kam Kwong, Anton Zettl
    Pages 117-143
  7. Back Matter

    Pages 144-150

About this book

Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.

Keywords

  • Calc
  • Differential Operators
  • Hadamard
  • Landau Inequality
  • Microsoft Access
  • Norm Inequalities
  • boundary element method
  • calculus
  • derivative
  • differential operator
  • eXist
  • extrema
  • function
  • functions
  • proof

Bibliographic Information

  • Book Title: Norm Inequalities for Derivatives and Differences

  • Authors: Man Kam Kwong, Anton Zettl

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0090864

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-56387-7Published: 29 January 1993

  • eBook ISBN: 978-3-540-47548-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 152

  • Topics: Real Functions

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions