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Discrepancy of signed measures and polynomial approximation /

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The book is an authoritative and up-to-date introduction to the field of Analysis and Potential Theory dealing with the distribution zeros of classical systems of polynomials such as orthogonal polynomials, Chebyshev, Fekete and Bieberbach polynomials, best or near-best approximating polynomials on...

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Bibliographic Details
Main Author: Andrievskii, V. V., 1953-
Corporate Author: SpringerLink (Online service)
Other Authors: Blatt, Hans-Peter
Format: eBook
Language:English
Published: New York : Springer, [2002]
Series:Springer monographs in mathematics.
Subjects:
Approximation theory.
Orthogonal polynomials.
Approximation, Théorie de l'
Polynômes orthogonaux.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Auxiliary Facts
  • 2. Zero Distribution of Polynomials
  • 3. Discrepancy Theorems via Two-Sided Bounds for Potentials
  • 4. Discrepancy Theorems via One-Sided Bounds for Potentials
  • 5. Discrepancy Theorems via Energy Integrals
  • 6. Applications of Jentzsch-Szego and Erdos-Turan Type Theorems
  • 7. Applications of Discrepancy Theorems
  • 8. Special Topics
  • A. Conformally Invariant Characteristics of Curve Families
  • B. Basics in the Theory of Quasiconformal Mappings
  • C. Constructive Theory of Functions of a Complex Variable
  • D. Miscellaneous Topics.