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Theory of Approximation

by N. I. Achieser

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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 show more theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carath#65533;odory-Fej#65533;r problem, and more). show less

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Original title: Lekt︠s︡ii po teorii approksimat︠s︡ii

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Genres: Nonfiction, Science & Nature
DDC/MDS: 511.4 — Natural sciences & mathematics Mathematics General principles of mathematics Approximation Theory
LCC: QA221 .A533 — Science Mathematics Mathematics Algebra
BISAC: MAT MATHEMATICS Functional Analysis

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Languages: English
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ISBNs: 4

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Published: 1956
Genres: Nonfiction, Science & Nature
DDC/MDS: 511.4
LCC: QA221 .A533

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