Theory of Approximation
eBook - ePub

Theory of Approximation

  1. 320 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Theory of Approximation

About this book

A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential type. The final two chapters explore the best harmonic approximation of functions and Wiener's theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carathéodory-Fejér problem, and more).

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Yes, you can access Theory of Approximation by N. I. Achieser in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Title Page
  2. Copyright Page
  3. TRANSLATOR’S PREFACE
  4. Table of Contents
  5. CHAPTER I - APPROXIMATION PROBLEMS IN LINEAR NORMALIZED SPACES
  6. CHAPTER II - P. L. TCHEBYSHEFF’S DOMAIN OF IDEAS
  7. CHAPTER III - ELEMENTS OF HARMONIC ANALYSIS
  8. CHAPTER IV - SOME EXTREMAL PROPERTIES OF INTEGRAL TRANSCENDENTAL FUNCTIONS OF THE EXPONENTIAL TYPE
  9. CHAPTER V - QUESTIONS REGARDING THE BEST HARMONIC APPROXIMATION OF FUNCTIONS
  10. CHAPTER VI - WIENER’S THEOREM ON APPROXIMATION
  11. VARIOUS ADDENDA AND PROBLEMS
  12. NOTES
  13. INDEX
  14. DOVER PHOENIX EDITIONS