Theory of Approximation of Functions of a Real Variable
eBook - PDF

Theory of Approximation of Functions of a Real Variable

  1. 644 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Theory of Approximation of Functions of a Real Variable

About this book

Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.

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Yes, you can access Theory of Approximation of Functions of a Real Variable by A. F. Timan, I. N. Sneddon,S. Ulam,M. Stark in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Pergamon
Year
2014
Print ISBN
9780080099293
eBook ISBN
9781483184814
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Theory of Approximation of Functions of a Real Variable
  3. Copyright Page
  4. Table of Contents
  5. EDITORIAL PREFACE
  6. FOREWORD
  7. CHAPTER I. WEIERSTRASS'S THEOREM
  8. CHAPTER II. THE BEST APPROXIMATION
  9. CHAPTER III. SOME COMPACT CLASSES OF FUNCTIONS AND THEIR STRUCTURAL CHARACTERISTICS
  10. CHAPTER IV. SOME PROPERTIES OF ALGEBRAIC POLYNOMIALS AND TRANSCENDENTAL INTEGRAL FUNCTIONS OF EXPONENTIAL TYPE
  11. CHAPTER V. DIRECT THEOREMS OF THE CONSTRUCTIVE THEORY OF FUNCTIONS
  12. CHAPTER VI. CONVERSE THEOREMS. CONSTRUCTIVE CHARACTERISTICS OF SOME CLASSES OF FUNCTIONS
  13. CHAPTER VII. FURTHER THEOREMS CONNECTING THE BEST APPROXIMATIONS OF FUNCTIONS WITH THEIR STRUCTURAL PROPERTIES
  14. CHAPTER VIII. LINEAR PROCESSES OF APPROXIMATION OF FUNCTIONS BY POLYNOMIALS AND SOME ESTIMATES CONNECTED WITH THEM
  15. CHAPTER IX. SOME RESULTS FROM THE THEORY OF FUNCTIONS AND FUNCTIONAL ANALYSIS
  16. BIBLIOGRAPHY: OF MEMOIRS AND BOOKS REFERRED TO IN THE TEXT
  17. INDEX