Topics in polynomial and rational interpolation and approximation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Montréal
Presses de l'Univ.
1982
|
| Schriftenreihe: | Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures
81 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 136 S. graph. Darst. |
| ISBN: | 2760605736 |
Internformat
MARC
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| 245 | 1 | 0 | |a Topics in polynomial and rational interpolation and approximation |
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| 300 | |a 136 S. |b graph. Darst. | ||
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| 490 | 1 | |a Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures |v 81 | |
| 650 | 4 | |a Approximation, Théorie de l' | |
| 650 | 4 | |a Fonctions d'une variable complexe | |
| 650 | 4 | |a Interpolation | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Interpolation | |
| 650 | 4 | |a Polynomials | |
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Datensatz im Suchindex
| _version_ | 1804123661253214208 |
|---|---|
| adam_text | CONTENTS
Chapter 1 ZEROS AND POLES OF PADE APPROXIMATIONS TO eZ, AND ZEROS OF
GENERALIZED BESSEL POLYNOMIALS
1. Introduction 11
2. Zero free parabolic regions for sequences of polynomials 13
3. Zeros and poles of Pade approximants to e : a survey 19
4. On the zeros of generalized Bessel polynomials 26
REFERENCES 33
Chapter 2 THE SAFF VARGA WIDTH CONJECTURE AND THE MITTAG LEFFLER FUNCTIONS
1. Introduction 36
2. Basic properties of the Mittag Leffler function 39
3. The zeros of s (z;f,) in the critical sector |arg z| 2 7r/2A .... 41
4. The asymptotic behavior of the zeros of s (R z) outside the critical
sector 44
5. Discussion of Figures 2.1. 2.3 46
REFERENCES 50
Chapter 3 THE ENESTROM KAKEYA THEOREM AND ITS SHARPNESS
1. Introduction 52
2. Sharpness of the bounds (1.3) of the Enestrom Kakeya Theorem 3.2 ... 54
3. An extension of the Enestrom Kakeya theorem and its sharpness 59
REFERENCES 67
Chapter 4 EXTENSIONS OF A THEOREM OF J.L. WALSH ON THE OVERCONVERGENCE OF
DIFFERENCES OF INTERPOLATING POLYNOMIALS
1. Introduction 69
2. Extensions of Walsh s Theorem in the roots of unity . 72
3. The extension of Walsh s Theorem 4.1 to the meromorphic case 78
4. The Hermite Birkhoff (H B) interpolation problem in the roots of unity. 85
2
5. Sharpness of p in Walsh s Theorem 88
REFERENCES 92
Chapter 5 BEST COMPLEX VS. REAL RATIONAL APPROXIMATION
1. Introduction 94
2. Uniqueness or nonuniqueness in terms of the alternation set 97
3. Sharpenings of Theorems 5.2 and 5.3 102
4. Final remarks and additional open questions 105
REFERENCES 107
Chapter 6 THE LORENTZ CONJECTURES ON ODD AND EVEN FUNCTIONS
1. Introduction 109
2. The Lorentz Conjecture 6.1: some partial results 110
3. The Lorentz Conjectures 6.2 6.4: some partial results . 115
REFERENCES 118
Chapter 7 THE WHITTAKER CONJECTURE AND THE 1/9 CONJECTURE
1. Introduction . , 120
2. The Whittaker Conjecture: history 120
3. Disproving the Whittaker Conjecture 7.1 125
4. The 1/9 Conjecture 129
REFERENCES , 134
|
| any_adam_object | 1 |
| author | Varga, Richard S. 1928-2022 |
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| ctrlnum | (OCoLC)10019069 (DE-599)BVBBV009218976 |
| 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 | Book |
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| id | DE-604.BV009218976 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:33:19Z |
| institution | BVB |
| isbn | 2760605736 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006128842 |
| oclc_num | 10019069 |
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| physical | 136 S. graph. Darst. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Presses de l'Univ. |
| record_format | marc |
| series2 | Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures |
| spelling | Varga, Richard S. 1928-2022 Verfasser (DE-588)1068286725 aut Topics in polynomial and rational interpolation and approximation Montréal Presses de l'Univ. 1982 136 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Université <Montréal> / Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures 81 Approximation, Théorie de l' Fonctions d'une variable complexe Interpolation Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd rswk-swf Interpolation (DE-588)4162121-9 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s DE-604 Interpolation (DE-588)4162121-9 s Approximation (DE-588)4002498-2 s Séminaire de Mathématiques Supérieures: Séminaire de Mathématiques Supérieures Université <Montréal> 81 (DE-604)BV004025294 81 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006128842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Varga, Richard S. 1928-2022 Topics in polynomial and rational interpolation and approximation Approximation, Théorie de l' Fonctions d'une variable complexe Interpolation Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4162121-9 (DE-588)4120913-8 |
| title | Topics in polynomial and rational interpolation and approximation |
| title_auth | Topics in polynomial and rational interpolation and approximation |
| title_exact_search | Topics in polynomial and rational interpolation and approximation |
| title_full | Topics in polynomial and rational interpolation and approximation |
| title_fullStr | Topics in polynomial and rational interpolation and approximation |
| title_full_unstemmed | Topics in polynomial and rational interpolation and approximation |
| title_short | Topics in polynomial and rational interpolation and approximation |
| title_sort | topics in polynomial and rational interpolation and approximation |
| topic | Approximation, Théorie de l' Fonctions d'une variable complexe Interpolation Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd Interpolation (DE-588)4162121-9 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximation, Théorie de l' Fonctions d'une variable complexe Interpolation Approximation theory Polynomials Approximation Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006128842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004025294 |
| work_keys_str_mv | AT vargarichards topicsinpolynomialandrationalinterpolationandapproximation |