Scientific computation on mathematical problems and conjectures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Soc. for Industrial and Applied Mathematics
1990
|
| Schriftenreihe: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
60 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 122 S. |
| ISBN: | 0898712572 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804118694366806016 |
|---|---|
| adam_text | Contents
v PREFACE
1 CHAPTER 1. The Bernstein Conjecture in Approximation Theory
1.1 The Bernstein Conjecture
1.2 Computing the Numbers {2n£2n(Ijti )}£ , with High Accuracy
1.3 Computing Upper Bounds for the Bernstein Constant (i
1.4 Computing Lower Bounds for the Bernstein Constant (1
1.5 The Richardson Extrapolation of the Numbers {2nli2n( x )Yn2 ,
1.6 Some Open Problems
1.7 Rational Approximation of 1*1 on [ 1,1]
23 CHAPTER 2. The 1/9 Conjecture and Its Recent Solution
2.1 Semi Discrete Approximations of Parabolic Equations
2.2 Chebyshev Semi Discrete Approximations
2.3 1/9 Conjecture
2.4 Results of Gonchar and Rakhmanov
39 CHAPTER 3. Theoretical and Computational Aspects of the Riemann
Hypothesis
3.1 The Riemann Hypothesis
3.2 The Polya Conjecture
3.3 The Resolution of the Polya Conjecture
3.4 The de Bruijn Newman Constant A
3.5 Lower Bounds for A via the Jensen Polynomials
3.6 Tracking Zeros of Fx (z)
3.7 Riemann Hypothesis: Necessary and Sufficient Conditions
65 CHAPTER 4. Asymptotics for the Zeros of the Partial Sums of exp(z)
4.1 Szego s Theorem and the Curves D, and Dn
4.2 Proofs of Proposition 2 and Theorem 3
4.3 Proof of Theorem 4
iii
iv CONTENTS
81 CHAPTER 5. Real vs. Complex Best Rational Approximation
5.1 The numbers ym n
5.2 Upper Bounds for ym n
5.3 Lower Bounds for ym n
103 CHAPTER 6. Generalizations of Jensen s Inequality for Polynomials Having
Concentration at Low Degrees
6.1 Polynomials Having Concentration at Low Degrees
6.2 Results for Hurwitz Polynomials
6.3 Generalizations and Remarks
121 INDEX
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| any_adam_object | 1 |
| author | Varga, Richard S. 1928-2022 |
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| author_facet | Varga, Richard S. 1928-2022 |
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| author_sort | Varga, Richard S. 1928-2022 |
| author_variant | r s v rs rsv |
| building | Verbundindex |
| bvnumber | BV004564773 |
| classification_rvk | SI 196 SK 905 |
| ctrlnum | (OCoLC)260165239 (DE-599)BVBBV004564773 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004564773 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:22Z |
| institution | BVB |
| isbn | 0898712572 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002808048 |
| oclc_num | 260165239 |
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| physical | V, 122 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | Varga, Richard S. 1928-2022 Verfasser (DE-588)1068286725 aut Scientific computation on mathematical problems and conjectures Richard S. Varga Philadelphia, Pa. Soc. for Industrial and Applied Mathematics 1990 V, 122 S. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 60 Ungelöstes Problem (DE-588)4186869-9 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Computerarithmetik (DE-588)4135485-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Datenverarbeitung (DE-588)4011152-0 s DE-604 Ungelöstes Problem (DE-588)4186869-9 s Computerarithmetik (DE-588)4135485-0 s Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 60 (DE-604)BV000016696 60 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002808048&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varga, Richard S. 1928-2022 Scientific computation on mathematical problems and conjectures Ungelöstes Problem (DE-588)4186869-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Computerarithmetik (DE-588)4135485-0 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4186869-9 (DE-588)4011152-0 (DE-588)4135485-0 (DE-588)4037944-9 |
| title | Scientific computation on mathematical problems and conjectures |
| title_auth | Scientific computation on mathematical problems and conjectures |
| title_exact_search | Scientific computation on mathematical problems and conjectures |
| title_full | Scientific computation on mathematical problems and conjectures Richard S. Varga |
| title_fullStr | Scientific computation on mathematical problems and conjectures Richard S. Varga |
| title_full_unstemmed | Scientific computation on mathematical problems and conjectures Richard S. Varga |
| title_short | Scientific computation on mathematical problems and conjectures |
| title_sort | scientific computation on mathematical problems and conjectures |
| topic | Ungelöstes Problem (DE-588)4186869-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Computerarithmetik (DE-588)4135485-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Ungelöstes Problem Datenverarbeitung Computerarithmetik Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002808048&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016696 |
| work_keys_str_mv | AT vargarichards scientificcomputationonmathematicalproblemsandconjectures |