
Operator Inequalities
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
More details
Other editions
Additional editions
Content
- Front Cover
- Operator Inequalities
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Some remarks concerning notation
- Chapter I. Some results on functional analysis
- 1. Basic concepts of order theory
- 2. Convex sets
- 3. Fixed-point theorems and other means of functional analysis
- Notes
- Chapter II. Inverse-positive linear operators
- 1. An abstract theory
- 2. M-matrices
- 3. Differential operators of the second order, pointwise inequalities
- 4. Abstract theory (continuation)
- 5. Numerical applications
- 6. Further Results
- Notes
- Chapter III. Two-sided bounds for second order differential equations
- 1. The concept of an inverse-monotone operator
- 2. Inverse-monotone differential operators
- 3. Inverse-rnonotonicity with weak differential inequalities
- 4. Existence and inclusion for two-point boundary Value Problems
- 5. Existence and inclusion by weak comparison functions
- 6. Error estimates
- Notes
- Chapter IV. An estimation theory for linear and nonlinear operators, range-domain implications
- 1. Sufficient conditions, general theory
- 2. Inverse-monotone operators
- 3. Inclusion by upper and lower bounds
- 4. Range-domain implications for linear and concave operators
- Notes
- Chapter V. Estimation and existence theory for vector-valued differential operators
- 1. Description of the problem, assumptions, notation
- 2. Two-sided bounds by range-domain implications
- 3. Existence and inclusion by two-sided bounds
- 4. Pointwise norm bounds by range-domain implications
- 5. Existence and estimation by norm bounds
- 6. More general estimates
- Notes
- References
- Notation index
- Subject index
System requirements
File format: PDF
Copy protection: Watermark-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Use the free software Adobe Reader, Adobe Digital Editions, or any other PDF viewer of your choice (see eBook Help).
- Tablet/Smartphone (Android; iOS): Install the free app Adobe Digital Editions or another reading app for eBooks, e.g., PocketBook (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.