Polynomial Approximation on Polytopes. (Record no. 136280)
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| 000 -LEADER | |
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| fixed length control field | 03530nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5295324 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131757.0 |
| 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 | 240724s2014 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470418946 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470416669 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5295324 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5295324 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)890464618 |
| 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 | QA691 .T68 2014 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516/.158 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Totik, Vilmos. |
| 245 10 - TITLE STATEMENT | |
| Title | Polynomial Approximation on Polytopes. |
| 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 | 2014. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (124 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 Series ; |
| Volume/sequential designation | v.232 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Part \ 1 . The continuous case -- Chapter 1. The result -- Chapter 2. Outline of the proof -- Chapter 3. Fast decreasing polynomials -- Chapter 4. Approximation on simple polytopes -- Chapter 5. Polynomial approximants on rhombi -- Chapter 6. Pyramids and local moduli on them -- Chapter 7. Local approximation on the sets ₐ -- Chapter 8. Global approximation of = _{ } on _{1/32} excluding a neighborhood of the apex -- Chapter 9. Global approximation of on _{1/64} -- Chapter 10. Completion of the proof of Theorem 1.1 -- Chapter 11. Approximation in \R^{ } -- Chapter 12. A -functional and the equivalence theorem -- Part \ 2 . The ^{ }-case -- Chapter 13. The ^{ } result -- Chapter 14. Proof of the ^{ } result -- Chapter 15. The dyadic decomposition -- Chapter 16. Some properties of ^{ } moduli of smoothness -- Chapter 17. Local ^{ } moduli of smoothness -- Chapter 18. Local approximation -- Chapter 19. Global ^{ } approximation excluding a neighborhood of the apex -- Chapter 20. Strong direct and converse inequalities -- Chapter 21. The -functional in ^{ } and the equivalence theorem -- Acknowledgement -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Polynomial approximation on convex polytopes in \mathbf{R}^d is considered in uniform and L^p-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the L^p-case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate K-functional follows as a consequence. The results solve a problem that was left open since the mid 1980s when some of the present findings were established for special, so-called simple polytopes. |
| 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 | Geometry, Riemannian. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Orthogonal polynomials. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Polytopes. |
| 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 | Totik, Vilmos |
| Title | Polynomial Approximation on Polytopes |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2014 |
| International Standard Book Number | 9781470416669 |
| 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 Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295324">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5295324</a> |
| Public note | Click to View |
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