03096nam 2200613 450 991078885160332120180613001309.01-4704-0503-2(CKB)3360000000465081(EBL)3114219(SSID)ssj0000889036(PQKBManifestationID)11566323(PQKBTitleCode)TC0000889036(PQKBWorkID)10875980(PQKB)11329378(MiAaPQ)EBC3114219(RPAM)15072356(PPN)195417860(EXLCZ)99336000000046508120071106h20082008 uy| 0engur|n|---|||||txtccrLimit theorems of polynomial approximation with exponential weights /Michael I. GanzburgProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (178 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 897Description based upon print version of record.0-8218-4063-0 Includes bibliographical references (pages 155-159) and index.""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 Entire Functions of Exponential Type""Memoirs of the American Mathematical Society ;no. 897.Functions, EntireApproximation theoryPotential theory (Mathematics)Fourier analysisFunctions, Entire.Approximation theory.Potential theory (Mathematics)Fourier analysis.510 s515/.98Ganzburg Michael I.1948-1565962MiAaPQMiAaPQMiAaPQBOOK9910788851603321Limit theorems of polynomial approximation with exponential weights3836130UNINA