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Moduli of Smoothness (Springer Series in Computational Mathematics) by Zeev Ditzian; Vilmos Totik is a nonfiction available to read on EtoBox.
What is Moduli of Smoothness (Springer Series in Computational Mathematics) about?
The subject of this book is the introduction and application of a new measure for smoothness offunctions. Though we have both previously published some articles in this direction, the results given here are new. Much of the work was done in the summer of 1984 in Edmonton when we consolidated earlier ideas and worked out most of the details of the text. It took another year and a half to improve and polish many of the theorems. We express our gratitude to Paul Nevai and Richard Varga for their encouragement. We thank NSERC of Canada for its valuable support. We also thank Christine Fischer and Laura Heiland for their careful typing of our manuscript. z. Ditzian V. Totik CONTENTS Introduction................................................. 1 PART I. THE MODULUS OF SMOOTHNESS Chapter 1. Preliminaries...................................... 7 1.1. Notations................................................ 7 1.2. Discussion of Some Conditions on cp(x).... •....... •.. •.. • •. 8... •. 1.3. Examples of Various Step-Weight Functions cp(x).. •.. •.. •.. •... 9.. • Chapter 2. The K-Functional and the Modulus of Continuity....... 10 2.1. The Equivalence Theorem........................... 10...
Who reads Moduli of Smoothness (Springer Series in Computational Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Zeev Ditzian; Vilmos Totik
- Publisher
- Springer-Verlag New York Inc.
- Published
- 1987
- Language
- EN
- ISBN
- 9781461247784
- Category
- nonfiction
- Subjects
- Mathematics, Stem
