Approximation of functions with bounded mixed derivative:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, R.I.
American Math. Soc.
1989
|
| Schriftenreihe: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
178 = 1989,1 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001585077&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Aus d. Russ. übers. |
| Umfang: | VI, 121 S. |
| ISBN: | 0821831267 |
Internformat
MARC
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| 245 | 1 | 0 | |a Approximation of functions with bounded mixed derivative |c by V. N. Temlyakov |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Introduction 1
CHAPTER I. The Bernstein and the Jackson Nikol skii Inequalities, and
Some Imbedding Theorems 11
§ 1. The Bernstein inequalities 12
§2. The Jackson Nikol skii inequalities 14
§3. Relations between the best approximations in different metrics... 22
CHAPTER II. Approximation of Functions in the Classes W*Q and Wq
by Trigonometric Polynomials 31
§ 1. Definitions. A representation theorem for the class H q 32
§2. Approximation of functions in the classes Wlqa and Hq in the
Lp metric for 1 q p oo 35
§3. Approximation of the functions Fr{ , a) and the Bohr Favard
inequalities 39
§4. Approximation of functions in the classes Wq a and H q in the
Lp metric for q = 1, 1 p oo and for 1 q oo, p = oo 55
§5. Approximation of functions in the classes Wq Q and Hxq by linear
methods 61
CHAPTER III. Widths of the Function Classes Wq a and H in the
Spaces Lp, 1 q p oo 71
§ 1. The widths of the classes Wxqa 72
§2. The widths of the classes H q 79
§3. Some other extremal problems 85
CHAPTER IV. Approximation of Periodic Functions of Several
Variables by Bilinear Forms 89
§ 1. Some generalizations of a theorem of Hardy and Littlewood 90
§2. Best trigonometric approximations 96
§3. Approximation of functions of the form f( y) 101
§4. Approximation of functions in the classes Wq Q and HJq 106
Bibliography 117
V
|
| any_adam_object | 1 |
| author | Temlyakov, Vladimir 1953- |
| author_GND | (DE-588)102386116X |
| author_facet | Temlyakov, Vladimir 1953- |
| author_role | aut |
| author_sort | Temlyakov, Vladimir 1953- |
| author_variant | v t vt |
| building | Verbundindex |
| bvnumber | BV002447091 |
| classification_rvk | SI 700 |
| classification_tum | MAT 410f |
| ctrlnum | (OCoLC)260145078 (DE-599)BVBBV002447091 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002447091 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:50:44Z |
| institution | BVB |
| isbn | 0821831267 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001585077 |
| oclc_num | 260145078 |
| open_access_boolean | |
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| physical | VI, 121 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| spellingShingle | Temlyakov, Vladimir 1953- Approximation of functions with bounded mixed derivative Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Approximation (DE-588)4002498-2 gnd Approximationstheorie (DE-588)4120913-8 gnd Periodische Funktion (DE-588)4224901-6 gnd Funktion (DE-588)4195664-3 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4120913-8 (DE-588)4224901-6 (DE-588)4195664-3 |
| title | Approximation of functions with bounded mixed derivative |
| title_alt | Približenie funkcij s ograničennoj smešannoj proizvodnoj |
| title_auth | Approximation of functions with bounded mixed derivative |
| title_exact_search | Approximation of functions with bounded mixed derivative |
| title_full | Approximation of functions with bounded mixed derivative by V. N. Temlyakov |
| title_fullStr | Approximation of functions with bounded mixed derivative by V. N. Temlyakov |
| title_full_unstemmed | Approximation of functions with bounded mixed derivative by V. N. Temlyakov |
| title_short | Approximation of functions with bounded mixed derivative |
| title_sort | approximation of functions with bounded mixed derivative |
| topic | Approximation (DE-588)4002498-2 gnd Approximationstheorie (DE-588)4120913-8 gnd Periodische Funktion (DE-588)4224901-6 gnd Funktion (DE-588)4195664-3 gnd |
| topic_facet | Approximation Approximationstheorie Periodische Funktion Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001585077&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000009943 |
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