LEADER 03096nam 2200613 450 001 9910788851603321 005 20180613001309.0 010 $a1-4704-0503-2 035 $a(CKB)3360000000465081 035 $a(EBL)3114219 035 $a(SSID)ssj0000889036 035 $a(PQKBManifestationID)11566323 035 $a(PQKBTitleCode)TC0000889036 035 $a(PQKBWorkID)10875980 035 $a(PQKB)11329378 035 $a(MiAaPQ)EBC3114219 035 $a(RPAM)15072356 035 $a(PPN)195417860 035 $a(EXLCZ)993360000000465081 100 $a20071106h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLimit theorems of polynomial approximation with exponential weights /$fMichael I. Ganzburg 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (178 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 897 300 $aDescription based upon print version of record. 311 $a0-8218-4063-0 320 $aIncludes bibliographical references (pages 155-159) and index. 327 $a""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)"" 327 $a""3.2. The Function h(r) and the Constant b[sub(n)]""""3.3. The Functions I??(r) and I??[sub(1)](r)""; ""3.4. The Main Estimate for Re H(w)""; ""Chapter 4. Polynomial Inequalities with Exponential Weights""; ""4.1. Nikolskii-type Inequalities""; ""4.2. Extremal Polynomials""; ""4.3. Polynomial Inequalities in the Complex Plane""; ""4.4. Proofs of Theorems 2.3.1 and 2.3.2""; ""Chapter 5. Entire Functions of Exponential Type and their Approximation Properties""; ""5.1. Entire Functions of Exponential Type""; ""5.2. Approximation Properties of Entire Functions of Exponential Type"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 897. 606 $aFunctions, Entire 606 $aApproximation theory 606 $aPotential theory (Mathematics) 606 $aFourier analysis 615 0$aFunctions, Entire. 615 0$aApproximation theory. 615 0$aPotential theory (Mathematics) 615 0$aFourier analysis. 676 $a510 s 676 $a515/.98 700 $aGanzburg$b Michael I.$f1948-$01565962 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788851603321 996 $aLimit theorems of polynomial approximation with exponential weights$93836130 997 $aUNINA