Close
Home » Nonfiction » TimanA. F. » Theory of Approximation of Functions of a Real Variable: International Series of Monographs on Pure and Applied Mathematics

# Theory of Approximation of Functions of a Real Variable: International Series of Monographs on Pure and Applied Mathematics

## Overview

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.

Imaging of Foreign Bodies

Most ingested foreign bodies pass through the gastrointestinal tract without a problem. However, both ingested and inserted foreign bodies may cause bowel obstruction or perforation or lead to severe hemorrhage, abscess formation, or septicemia. Foreign body aspiration is common in children, especially those under 3 years of age, and in these…

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.

Date release: July 01, 2014

Theory, Approximation, Functions, Real, Variable:, International, Series, Monographs, Pure, Applied, Mathematics, TimanA., download, Microsoft Reader (LIT), PDF

You can buy this book now only for \$67.69. This is the lowest price for this book.