Limit Theorems of Polynomial Approximation with Exponential Weights. (Record no. 69750)
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| fixed length control field | 04479nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114219 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124603.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2008 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405038 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821840634 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114219 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114219 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039838 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981751 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA353.E5 -- G367 2008eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;515/.98 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ganzburg, Michael I. |
| 245 10 - TITLE STATEMENT | |
| Title | Limit Theorems of Polynomial Approximation with Exponential Weights. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2008. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (178 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.192 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- 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 φ(r) and φ[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 -- Chapter 6. Polynomial Interpolation and Approximation of Entire Functions of Exponential Type -- 6.1. Interpolation on the Interval I[sub(n)] = [ a[sub(n)](1+δ[sub(n)]), a[sub(n)](1+δ[sub(n)])] -- 6.2. Interpolation on I\I[sub(n)] -- 6.3. Proof of Theorem 2.2.1 -- 6.4. Proof of Theorem 2.2.2 -- Chapter 7. Proofs of the Limit Theorems -- 7.1. Proof of Theorem 2.1.1 -- 7.2. Proof of Theorem 2.1.2 -- 7.3. Proofs of Theorems 2.1.3 and 2.1.4 -- Chapter 8. Applications -- 8.1. Approximation of Individual Functions and Proof of Theorem 2.3.3 -- 8.2. An Asymptotically Sharp Constant of Weighted Approximation on the Class W[sup(r)]H[sup(λ)][I] -- 8.3. Convergence of Polynomials and a Mehler-Heine Formula for Orthonormal Polynomials. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 9. Multidimensional Limit Theorems of Polynomial Approximation with Exponential Weights -- 9.1. Multidimensional Limit Theorems with Exponential Weights -- 9.2. Proof of Theorem 9.1.3 -- 9.3. Proofs of Theorems 9.1.1 and 9.1.4 -- 9.4. Approximation of λ-Homogeneous Functions -- Chapter 10. Examples -- 10.1. W(x) = exp( |x|α), α > -- 1 -- 10.2. W(x) = exp(-|x|) -- 10.3. W(x) = exp( |x|α), 0< -- α < -- 1 -- 10.4. W(x) = exp( |x|α), α → ∞ -- 10.5. Examples of Erdös Weights -- Appendix A. Appendix. Negativity of a Kernel -- A. l. Statement of the Main Result -- A. 2. Some Technical Results -- A. 3. Proof of Proposition A.1.1 -- Bibliography -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functions, Entire. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Approximation theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Potential theory (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fourier analysis. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Ganzburg, Michael I. |
| Title | Limit Theorems of Polynomial Approximation with Exponential Weights |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2008 |
| International Standard Book Number | 9780821840634 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114219">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114219</a> |
| Public note | Click to View |
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