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Discrepancy of Signed Measures and Polynomial Approximation
Andrievskii, Vladimir; Blatt, Hans-Peter
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Description for Discrepancy of Signed Measures and Polynomial Approximation
paperback. Series: Springer Monographs in Mathematics. Num Pages: 452 pages, biography. BIC Classification: PBC; PBKD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 635.
In many situations in approximation theory the distribution of points in a given set is of interest. For example, the suitable choiee of interpolation points is essential to obtain satisfactory estimates for the convergence of interpolating polynomials. Zeros of orthogonal polynomials are the nodes for Gauss quadrat ure formulas. Alternation points of the error curve char acterize the best approximating polynomials. In classieal complex analysis an interesting feature is the location of zeros of approximants to an analytie function. In 1918 R. Jentzsch [91] showed that every point of the circle of convergence of apower series is a limit point ... Read more
In many situations in approximation theory the distribution of points in a given set is of interest. For example, the suitable choiee of interpolation points is essential to obtain satisfactory estimates for the convergence of interpolating polynomials. Zeros of orthogonal polynomials are the nodes for Gauss quadrat ure formulas. Alternation points of the error curve char acterize the best approximating polynomials. In classieal complex analysis an interesting feature is the location of zeros of approximants to an analytie function. In 1918 R. Jentzsch [91] showed that every point of the circle of convergence of apower series is a limit point ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag New York Inc. United States
Number of pages
452
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
438
Place of Publication
New York, NY, United States
ISBN
9781441931467
SKU
V9781441931467
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Discrepancy of Signed Measures and Polynomial Approximation
From the reviews of the first edition: "Distributions of certain point sets are in many respects important in approximation theory. … Many classical theorems … deal with such problems. This book collects a number of generalizations of these theorems. … The book is written with great care. … This monograph is a valuable addition to ... Read more