A pioneer of many modern developments in approximation theory, Achieser begins this text with approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. He then examines the elements of harmonic analysis, integral transcendental functions of the exponential type, Wiener's theorem on approximation, more. Includes an extensive section of problems and applications.
Theory of Approximation of Functions of a Real Variable by A. F. Timan Excellent graduate-level monograph investigates relationship between real functions and polynomials and other functions of simple construction. Based upon theorems by Weierstrass, P. L. Chebyshev, S. N. Bernstein. Supplementary problems and theorems. 1963 edition.
Theoretical Numerical Analysis: An Introduction to Advanced Techniques by Peter Linz Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis; and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition.
