书目名称 | Moduli of Smoothness |
编辑 | Z. Ditzian,V. Totik |
视频video | |
丛书名称 | Springer Series in Computational Mathematics |
图书封面 |  |
描述 | 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) . |
出版日期 | Book 1987 |
关键词 | Approximation; Interpolation; approximation theory; numerical analysis; real analysis |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-4778-4 |
isbn_softcover | 978-1-4612-9151-0 |
isbn_ebook | 978-1-4612-4778-4Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
issn_series | 0179-3632 |
copyright | Springer-Verlag New York Inc. 1987 |