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Interpolation Of Functions
Author(s): J Szabados (Author), Peter Vertesi (Author)
- Publisher: EPB Publishers Pte Ltd
- Publication Date: 1 Oct. 1990
- Edition: Illustrated
- Language: English
- Print length: 320 pages
- ISBN-10: 9971509156
- ISBN-13: 9789971509156
Book Description
This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgue function, Lebesgue constant of Lagrange interpolation, Bernstein and Erdös conjecture on the optimal nodes, the almost everywhere divergence of Lagrange interpolation for arbitrary system of nodes, Hermite-Fejer type and lacunary interpolation and other related topics.
Editorial Reviews
Review
“… this is a very careful and exhaustive treatment of interpolation by univariate polynomials … It is the proverbial book nobody in the area can do without.” Carl De Boor J Approximation Theory September 1992 “… this is the first monograph devoted entirely to interpolation … As a whole this book can serve as an excellent and valuable deskcopy for researchers as well as for graduate students in approximation theory and related fields.” Vilmos Totik Acta Sci. Math. (Szeged), 1993
