Discrepancy of Signed Measures and Polynomial Approximation

Name: Discrepancy of Signed Measures and Polynomial Approximation
Brand: Springer-Verlag New York Inc.
SKU: 9781441931467
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Szerző: Vladimir V. Andrievskii, Hans-Peter Blatt

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten

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The book is an authoritative and up-to-date introduction to the field of analysis and potential theo...

Információk a könyvről

Szerző

Vladimir V. Andrievskii, Hans-Peter Blatt

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

438

EAN

9781441931467

ISBN

1441931465

Enbook ID

01421822

Kiadó

Springer-Verlag New York Inc.

Súly

1400

Méretek

155 x 235 x 25

Teljes leírás

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 compact sets and on the real line. The main feature of the book is the combination of potential theory with conformal invariants, such as module of a family of curves and harmonic measure, to derive discrepancy estimates for signed measures if bounds for their logarithmic potentials or energy integrals are known a priori.A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis.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 compact sets and on the real line. The main feature of the book is the combination of potential theory with conformal invariants, such as module of a family of curves and harmonic measure, to derive discrepancy estimates for signed measures if bounds for their logarithmic potentials or energy integrals are known a priori. Classical results of Jentzsch and Szegö for the zero distribution of partial sums of power series can be recovered and sharpened by new discrepany estimates, as well as distribution results of Erdös and Turn for zeros of polynomials bounded on compact sets in the complex plane.Vladimir V. Andrievskii is Assistant Professor of Mathematics at Kent State University. Hans-Peter Blatt is Full Professor of Mathematics at Katholische Universität Eichstätt.

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Discrepancy of Signed Measures and Polynomial Approximation

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