Polynomials and polynomial inequalities:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1995
|
| Schriftenreihe: | Graduate texts in mathematics
161 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 480 S. |
| ISBN: | 0387945091 9781461269021 |
Internformat
MARC
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| 100 | 1 | |a Borwein, Peter B. |d 1953-2020 |e Verfasser |0 (DE-588)1018056440 |4 aut | |
| 245 | 1 | 0 | |a Polynomials and polynomial inequalities |c Peter Borwein ; Tamás Erdélyi |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1995 | |
| 300 | |a X, 480 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 161 | |
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| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 0 | 7 | |a Polynom |0 (DE-588)4046711-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ungleichung |0 (DE-588)4139098-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804124934889275392 |
|---|---|
| adam_text | PETER BORWEIN TAMAES ERDELYI
POLYNOMIALS AND
POLYNOMIAL INEQUALITIES
SPRINGER
CONTENT
S
PREFACE
CHAPTER 1 INTRODUCTION AND BASIC PROPERTIES
1.1 POLYNOMIAL
S AN
D RATIONA
L FUNCTION
S
1.2 TH
E FUNDAMENTA
L THEORE
M OF ALGEBR
A
1.3 ZEROS OF TH
E DERIVATIV
E
CHAPTER 2 SOME SPECIAL POLYNOMIALS
2.1 CHEBYSHEV POLYNOMIAL
S
2.2 ORTHOGONA
L FUNCTION
S
2.3 ORTHOGONA
L POLYNOMIAL
S
2.4 POLYNOMIAL
S WIT
H NONNEGATIV
E COEFFICIENTS
CHAPTER 3 CHEBYSHEV AND DESCARTES SYSTEMS
3.1 CHEBYSHEV SYSTEM
S
3.2 DESCARTE
S SYSTEM
S
3.3 CHEBYSHEV POLYNOMIAL
S IN CHEBYSHE
V SPACES
3.4 MUENTZ-LEGENDR
E POLYNOMIAL
S
3.5 CHEBYSHEV POLYNOMIAL
S IN RATIONA
L SPACES
*
X CONTENT
S
CHAPTER 4 DENSENESS QUESTIONS 154
4.1 VARIATION
S ON TH
E WEIERSTRAS
S THEORE
M 154
4.2 MUENTZ
S THEORE
M 171
4.3 UNBOUNDE
D BERNSTEI
N INEQUALITIE
S 206
4.4 MUENT
Z RATIONAI
S 218
CHAPTER 5 BASIC INEQUALITIES 227
5.1 CLASSICAL POLYNOMIA
L INEQUALITIE
S 227
5.2 MARKOV
S INEQUALIT
Y FOR HIGHER DERIVATIVES 248
5.3 INEQUALITIE
S FOR NORM
S OF FACTOR
S 260
CHAPTER 6 INEQUALITIES IN MUENTZ SPACES 275
6.1 INEQUALITIE
S IN MUENT
Z SPACES 275
6.2 NONDENS
E MUENT
Z SPACES 303
CHAPTER 7 INEQUALITIES FOR RATIONAL FUNCTION SPACES 320
7.1 INEQUALITIE
S FOR RATIONA
L FUNCTIO
N SPACES 320
7.2 INEQUALITIE
S FOR LOGARITHMI
C DERIVATIVES 344
APPENDI
X A
I ALGORITHMS AND COMPUTATIONAL CONCERNS 356
APPENDI
X A2 ORTHOGONALITY AND IRRATIONALITY 372
APPENDI
X A3 AN INTERPOLATION THEOREM 382
APPENDI
X A4 INEQUALITIES FOR GENERALIZED POLYNOMIALS IN L
P
392
APPENDI
X A5 INEQUALITIES FOR POLYNOMIALS WITH CONSTRAINTS 417
BIBLIOGRAPHY 448
NOTATION 467
INDEX
473
|
| any_adam_object | 1 |
| author | Borwein, Peter B. 1953-2020 Erdélyi, Tamás |
| author_GND | (DE-588)1018056440 |
| author_facet | Borwein, Peter B. 1953-2020 Erdélyi, Tamás |
| author_role | aut aut |
| author_sort | Borwein, Peter B. 1953-2020 |
| author_variant | p b b pb pbb t e te |
| building | Verbundindex |
| bvnumber | BV010500964 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241.B775 1995 |
| callnumber-search | QA241.B775 1995 |
| callnumber-sort | QA 3241 B775 41995 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 SK 490 |
| classification_tum | MAT 266f |
| ctrlnum | (OCoLC)246649970 (DE-599)BVBBV010500964 |
| dewey-full | 515/.25220 515.252 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.252 20 515.252 |
| dewey-search | 515/.252 20 515.252 |
| dewey-sort | 3515 3252 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T17:53:33Z |
| institution | BVB |
| isbn | 0387945091 9781461269021 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006997791 |
| oclc_num | 246649970 |
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| physical | X, 480 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Borwein, Peter B. 1953-2020 Verfasser (DE-588)1018056440 aut Polynomials and polynomial inequalities Peter Borwein ; Tamás Erdélyi New York [u.a.] Springer 1995 X, 480 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 161 Polynomials Inequalities (Mathematics) Polynom (DE-588)4046711-9 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Polynom (DE-588)4046711-9 s Ungleichung (DE-588)4139098-2 s DE-604 Erdélyi, Tamás Verfasser aut Graduate texts in mathematics 161 (DE-604)BV000000067 161 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006997791&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borwein, Peter B. 1953-2020 Erdélyi, Tamás Polynomials and polynomial inequalities Graduate texts in mathematics Polynomials Inequalities (Mathematics) Polynom (DE-588)4046711-9 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4046711-9 (DE-588)4139098-2 |
| title | Polynomials and polynomial inequalities |
| title_auth | Polynomials and polynomial inequalities |
| title_exact_search | Polynomials and polynomial inequalities |
| title_full | Polynomials and polynomial inequalities Peter Borwein ; Tamás Erdélyi |
| title_fullStr | Polynomials and polynomial inequalities Peter Borwein ; Tamás Erdélyi |
| title_full_unstemmed | Polynomials and polynomial inequalities Peter Borwein ; Tamás Erdélyi |
| title_short | Polynomials and polynomial inequalities |
| title_sort | polynomials and polynomial inequalities |
| topic | Polynomials Inequalities (Mathematics) Polynom (DE-588)4046711-9 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Polynomials Inequalities (Mathematics) Polynom Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006997791&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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