Methods of Approximation Theory
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Brill
© 2005
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| 082 | 0 | |a 511/.4 |2 22 | |
| 100 | 1 | |a Stepanet͡s, Alexander I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Methods of Approximation Theory |c Alexander I. Stepanets |
| 264 | 1 | |a Leiden |b Brill |c © 2005 | |
| 300 | |a xviii, 919 pages | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (pages 393-428 and 881-916) and index | ||
| 500 | |a PREFACE; 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES; 2. SATURATION OF LINEAR METHODS; 3. CLASSES OF PERIODIC FUNCTIONS; 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES; 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1; BIBLIOGRAPHICAL NOTES (Part I); REFERENCES (Part I); 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp; 7. BEST APPROXIMATIONS IN THE SPACES C AND L; 8. INTERPOLATION; 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS. | ||
| 500 | |a The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development | ||
| 650 | 7 | |a MATHEMATICS / General |2 bisacsh | |
| 650 | 7 | |a Approximation theory |2 fast | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Approximation theory | |
| 912 | |a ZDB-4-EBA | ||
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Datensatz im Suchindex
| _version_ | 1804176621513474048 |
|---|---|
| any_adam_object | |
| author | Stepanet͡s, Alexander I. |
| author_facet | Stepanet͡s, Alexander I. |
| author_role | aut |
| author_sort | Stepanet͡s, Alexander I. |
| author_variant | a i s ai ais |
| building | Verbundindex |
| bvnumber | BV043786193 |
| collection | ZDB-4-EBA |
| ctrlnum | (ZDB-4-EBA)ocn568020239 (OCoLC)568020239 (DE-599)BVBBV043786193 |
| dewey-full | 511/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.4 |
| dewey-search | 511/.4 |
| dewey-sort | 3511 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043786193 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:35:06Z |
| institution | BVB |
| isbn | 9783110195286 3110195283 1280868716 9781280868719 9789067644273 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029197252 |
| oclc_num | 568020239 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | xviii, 919 pages |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Brill |
| record_format | marc |
| spelling | Stepanet͡s, Alexander I. Verfasser aut Methods of Approximation Theory Alexander I. Stepanets Leiden Brill © 2005 xviii, 919 pages txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 393-428 and 881-916) and index PREFACE; 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES; 2. SATURATION OF LINEAR METHODS; 3. CLASSES OF PERIODIC FUNCTIONS; 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES; 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1; BIBLIOGRAPHICAL NOTES (Part I); REFERENCES (Part I); 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp; 7. BEST APPROXIMATIONS IN THE SPACES C AND L; 8. INTERPOLATION; 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS. The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development MATHEMATICS / General bisacsh Approximation theory fast Approximation theory |
| spellingShingle | Stepanet͡s, Alexander I. Methods of Approximation Theory MATHEMATICS / General bisacsh Approximation theory fast Approximation theory |
| title | Methods of Approximation Theory |
| title_auth | Methods of Approximation Theory |
| title_exact_search | Methods of Approximation Theory |
| title_full | Methods of Approximation Theory Alexander I. Stepanets |
| title_fullStr | Methods of Approximation Theory Alexander I. Stepanets |
| title_full_unstemmed | Methods of Approximation Theory Alexander I. Stepanets |
| title_short | Methods of Approximation Theory |
| title_sort | methods of approximation theory |
| topic | MATHEMATICS / General bisacsh Approximation theory fast Approximation theory |
| topic_facet | MATHEMATICS / General Approximation theory |
| work_keys_str_mv | AT stepanetsalexanderi methodsofapproximationtheory |