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Record Nr. |
UNINA9910829175703321 |
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Autore |
Ganzburg Michael I. <1948-> |
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Titolo |
Limit theorems of polynomial approximation with exponential weights / / Michael I. Ganzburg |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (178 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 897 |
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Disciplina |
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Soggetti |
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Functions, Entire |
Approximation theory |
Potential theory (Mathematics) |
Fourier analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages 155-159) and index. |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""1.1. A Brief Review""; ""1.2. Results and Organization of the Monograph""; ""1.3. Basic Notation and Some Preliminaries""; ""1.4. Classes of Weights and Basic Estimates""; ""1.5. Acknowledgements""; ""Chapter 2. Statement of Main Results""; ""2.1. Limit Theorems of Polynomial Approximation with Exponential Weights""; ""2.2. Approximation of Entire Functions of Exponential Type""; ""2.3. Polynomial Inequalities in the Complex Plane""; ""Chapter 3. Properties of Harmonic Functions""; ""3.1. The Poisson Integral Re H(w)"" |
""3.2. The Function h(r) and the Constant b[sub(n)]""""3.3. The Functions Ï?(r) and Ï?[sub(1)](r)""; ""3.4. The Main Estimate for Re H(w)""; ""Chapter 4. Polynomial Inequalities with Exponential Weights""; ""4.1. Nikolskii-type Inequalities""; ""4.2. Extremal Polynomials""; ""4.3. Polynomial Inequalities in the Complex Plane""; ""4.4. Proofs of Theorems 2.3.1 and 2.3.2""; ""Chapter 5. Entire Functions of Exponential Type and their Approximation Properties""; ""5.1. Entire Functions of Exponential Type""; ""5.2. Approximation Properties of |
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