Norm inequalities for derivatives and differences

Resource Information

The work Norm inequalities for derivatives and differences represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Norm inequalities for derivatives and differences

Statement of responsibility

Man Kam Kwong, Anton Zettl

Creator

• Kwong, Man Kam, 1947-

Contributor

• Zettl, Anton

Subject

• Difference equations
• Difference equations
• Difference equations
• Differentierekening
• Differenzenoperator
• Inequalities (Mathematics)
• Inequalities (Mathematics)
• Inequalities (Mathematics)
• Norm
• Ongelijkheden
• Ungleichung
• Variables (mathématiques)
• Équations différentielles
• Ableitung

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1536

Action

digitized

Cataloging source

SPLNM

Dewey number

• 510 s
• 515/.26

Illustrations

illustrations

Index

index present

LC call number

• QA3
• QA295

LC item number

.L28 no. 1536

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1536