Theory of Approximation of Functions of A Real Variable

Content: 
OTHER TITLES IN THE SERIES ON PURE AND APPLIED MATHEMATICS, Page ii
Front Matter, Page iii
Copyright, Page iv
EDITORIAL PREFACE, Page ix
PREFATORY NOTE, Page ix
FOREWORD, Pages xi-xii
CHAPTER I - WEIERSTRASS\'S THEOREM, Pages 1-25
CHAPTER II - THE BEST APPROXIMATION, Pages 26-92
CHAPTER III - SOME COMPACT CLASSES OF FUNCTIONS AND THEIR STRUCTURAL CHARACTERISTICS, Pages 93-169
CHAPTER IV - SOME PROPERTIES OF ALGEBRAIC POLYNOMIALS AND TRANSCENDENTAL INTEGRAL FUNCTIONS OF EXPONENTIAL TYPE, Pages 170-253
CHAPTER V - DIRECT THEOREMS OF THE CONSTRUCTIVE THEORY OF FUNCTIONS, Pages 254-330
CHAPTER VI - CONVERSE THEOREMS. CONSTRUCTIVE CHARACTERISTICS OF SOME CLASSES OF FUNCTIONS, Pages 331-401
CHAPTER VII - FURTHER THEOREMS CONNECTING THE BEST APPROXIMATIONS OF FUNCTIONS WITH THEIR STRUCTURAL PROPERTIES, Pages 402-464
CHAPTER VIII - LINEAR PROCESSES OF APPROXIMATION OF FUNCTIONS BY POLYNOMIALS AND SOME ESTIMATES CONNECTED WITH THEM, Pages 465-586
SOME RESULTS FROM THE THEORY OF FUNCTIONS AND FUNCTIONAL ANALYSIS, Pages 587-601
BIBLIOGRAPHY OF MEMOIRS AND BOOKS REFERRED TO IN THE TEXT, Pages 602-620
INDEX, Pages 621-631