Fundamentals of Approximation Theory

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Alpha Science International, 2007 - Mathematics - 545 pages
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The subject of approximation theory plays an increasingly important role in applications to many branches of applied sciences and engineering. Written in the span of almost a decade, Fundamentals of Approximation Theory serves as both an introductory text as well as an advanced review of the field. The first five chapters give the reader the core information to begin research in this domain. The next three chapters devote attention to special topics, exposing the reader to complex analytic methods and techniques of functional analysis. The authors emphasize the connections between different branches of analysis with approximation theory - between the 'classical' and the 'abstract.' They also include noteworthy features such as K-functionals, Hermite-Birkhoff interpolation, Lagrange-Hermite-Fejr-type interpolation, and complex methods in the treatment of Fourier series.

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Density Theorems
Linear Chebyshev Approximation
Degree of Approximation

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