Theory of Approximation

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Author(s): N.I. Achieser
Genre: Science
Original Publish Date: May 08, 2013
Product Number: EB00795991
Released: Dec 04, 2019
Business Term: Purchase
ISBN: #9780486153131
Publisher: Dover Publications
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Description

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 CarathEodory-FejEr problem, and more).

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