Rational Approximation of Real Functions (Encyclopedia of Mathematics and its Applications, Series Number 28)

Originally Published In 1987, This Book Is Devoted To The Approximation Of Real Functions By Real Rational Functions. These Are, In Many Ways, A More Convenient Tool Than Polynomials, And Interest In Them Was Growing, Especially Since D. Newman's Work In The Mid-sixties. The Authors Aim At Presenting The Basic Achievements Of The Subject And, For Completeness, Also Discuss Some Topics From Complex Rational Approximation. Certain Classical And Modern Results From Linear Approximation Theory And Spline Approximation Are Also Included For Comparative Purposes. This Book Will Be Of Value To Anyone With An Interest In Approximation Theory And Numerical Analysis. P.p. Petrushev, V.a. Popov. Includes Indexes. Bibliography: P. [357]-367. This is the first book devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them is growing. The authors present the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This 1987 book examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after D. Newman's work in the mid-sixties. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation. This work examines the approximation of real functions by real rational functions. These are a more convenient tool than polynomials, and interest in them was growing, especially after Newman's work in the mid-60s. The authors present the basic achievements of the subject and also discuss some topics from complex rational approximation