Julia variations for extremal problems of convex univalent functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1997
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 74 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Ma, Jinxi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Julia variations for extremal problems of convex univalent functions |c vorgelegt von Jinxi Ma |
| 264 | 1 | |c 1997 | |
| 300 | |a 74 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Würzburg, Univ., Diss., 1997 | ||
| 650 | 0 | 7 | |a Analytische Funktion |0 (DE-588)4142348-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Extremalproblem |0 (DE-588)4439315-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konvexe Funktion |0 (DE-588)4139679-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schlichte Funktion |0 (DE-588)4131418-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Konvexe Funktion |0 (DE-588)4139679-0 |D s |
| 689 | 0 | 1 | |a Extremalproblem |0 (DE-588)4439315-5 |D s |
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| 689 | 1 | 2 | |a Extremalproblem |0 (DE-588)4439315-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Konvexe Funktion |0 (DE-588)4139679-0 |D s |
| 689 | 2 | 1 | |a Schlichte Funktion |0 (DE-588)4131418-9 |D s |
| 689 | 2 | 2 | |a Extremalproblem |0 (DE-588)4439315-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007605208&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007605208 | |
Datensatz im Suchindex
| _version_ | 1807323575815766016 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
EXTREMAL
PROBLEMS
FOR
CONVEX
FUNCTIONS
.
1
1.1.1
INTRODUCTION
OF
THE
PROBLEM
.
1
1.1.2
STATEMENT
OF
THE
MAIN
RESULTS
.
3
1.2
HADAMARD
AND
JULIA
VARIATIONS
.
4
1.2.1
HADAMARD
VARIATION
.
4
1.2.2
JULIA
VARIATION
.
5
1.2.3
VARIATIONS
FOR
CONFORMAL
MAPPINGS
ONTO
CONVEX
POLYGONS
.
6
2
VARIATIONS
FOR
CONVEX
POLYGONS
AND
CURVILIEAR
POLYGONS
7
2.1
VARIATIONS
FOR
CONVEX
POLYGONS
.
8
2.2
VARIATIONS
FOR
CURVILINEAR
POLYGONS
.
14
3
JULIA
VARIATIONAL
FORMULAS
FOR
CONFORMAL
MAPPINGS
ONTO
CONVEX
POLY
GONS
18
3.1
INTRODUCTION
OF
THE
MAIN
THEOREM:
THEOREM
3.1
.
18
3.2
THE
VARYING
SIDE
AB
IS
BOUNDED
.
21
3.2.1
A
JULIA
VARIATIONAL
FORMULA:
THEOREM
3.2
.
21
3.2.2
A
HADAMARD
VARIATIONAL
FORMULA:
PROPOSITION
3.1
.
22
3.2.3
SOME
LEMMAS
.
22
3.2.4
PROOF
OF
PROPOSTION
3.1
.
27
3.2.5
ANOTHER
HADAMARD
VARIATIONAL
FORMULA:
PROPOSITION
3.2
.
30
3.2.6
PROOF
OF
THEOREM
3.2
.
33
3.2.7
PROOF
OF
THEOREM
3.3
.
35
3.3
THE
VARYING
SIDE
AB
IS
UNBOUNDED
.
39
3.3.1
STATEMENTS
OF
THE
RESULTS
AND
THE
PROOF
OF
THEOREM
3.1
.
39
3.3.2
PROPOSITION
3.4
AND
THE
PROOF
.
40
3.3.3
PROPOSITION
3.5
AND
THE
PROOF
.
46
3.3.4
PROOF
OF
THEOREM
3.4
.
52
3.3.5
PROOF
OF
THEOREM
3.5
.
54
4
PROOFS
OF
THEOREM
1.1
AND
THEOREM
1.2
59
5
APPLICATIONS:
OLD
AND
NEW
INEQUALITIES
63
6
APPLICATIONS:
VARIABILITY
REGIONS
68
REFERENCES
73 |
| any_adam_object | 1 |
| author | Ma, Jinxi |
| author_facet | Ma, Jinxi |
| author_role | aut |
| author_sort | Ma, Jinxi |
| author_variant | j m jm |
| building | Verbundindex |
| bvnumber | BV011319941 |
| ctrlnum | (OCoLC)258635732 (DE-599)BVBBV011319941 |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV011319941 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T01:14:34Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007605208 |
| oclc_num | 258635732 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-355 DE-BY-UBR DE-12 DE-703 DE-11 DE-188 |
| owner_facet | DE-20 DE-29T DE-355 DE-BY-UBR DE-12 DE-703 DE-11 DE-188 |
| physical | 74 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| record_format | marc |
| spelling | Ma, Jinxi Verfasser aut Julia variations for extremal problems of convex univalent functions vorgelegt von Jinxi Ma 1997 74 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 1997 Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Extremalproblem (DE-588)4439315-5 gnd rswk-swf Konvexe Funktion (DE-588)4139679-0 gnd rswk-swf Schlichte Funktion (DE-588)4131418-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Konvexe Funktion (DE-588)4139679-0 s Extremalproblem (DE-588)4439315-5 s DE-604 Analytische Funktion (DE-588)4142348-3 s Schlichte Funktion (DE-588)4131418-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007605208&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ma, Jinxi Julia variations for extremal problems of convex univalent functions Analytische Funktion (DE-588)4142348-3 gnd Extremalproblem (DE-588)4439315-5 gnd Konvexe Funktion (DE-588)4139679-0 gnd Schlichte Funktion (DE-588)4131418-9 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4439315-5 (DE-588)4139679-0 (DE-588)4131418-9 (DE-588)4113937-9 |
| title | Julia variations for extremal problems of convex univalent functions |
| title_auth | Julia variations for extremal problems of convex univalent functions |
| title_exact_search | Julia variations for extremal problems of convex univalent functions |
| title_full | Julia variations for extremal problems of convex univalent functions vorgelegt von Jinxi Ma |
| title_fullStr | Julia variations for extremal problems of convex univalent functions vorgelegt von Jinxi Ma |
| title_full_unstemmed | Julia variations for extremal problems of convex univalent functions vorgelegt von Jinxi Ma |
| title_short | Julia variations for extremal problems of convex univalent functions |
| title_sort | julia variations for extremal problems of convex univalent functions |
| topic | Analytische Funktion (DE-588)4142348-3 gnd Extremalproblem (DE-588)4439315-5 gnd Konvexe Funktion (DE-588)4139679-0 gnd Schlichte Funktion (DE-588)4131418-9 gnd |
| topic_facet | Analytische Funktion Extremalproblem Konvexe Funktion Schlichte Funktion Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007605208&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT majinxi juliavariationsforextremalproblemsofconvexunivalentfunctions |