Generalized concavity:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Pr.
1988
|
| Schriftenreihe: | Mathematical concepts and methods in science and engineering
36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 332 S. |
| ISBN: | 0306426560 |
Internformat
MARC
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| 300 | |a X, 332 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematical concepts and methods in science and engineering |v 36 | |
| 650 | 4 | |a Fonctions concaves | |
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| 650 | 4 | |a Concave functions | |
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Datensatz im Suchindex
| _version_ | 1804115279190425600 |
|---|---|
| adam_text | Contents
1. Introduction 1
2. Concavity 15
2.1. Basic Definitions 15
2.2. Single Variable Concave Functions 16
2.3. Concave Functions of Several Variables 24
2.4. Extrema of Concave Functions 37
2.5. Concave Mathematical Programs 41
3. Generalized Concavity 55
3.1. Quasiconcave Functions—Definitions and General Properties ... 55
3.2. Differentiable Quasiconcave Functions 67
3.3. Strict Quasiconcavity 76
3.4. Semistrict Quasiconcavity 81
3.5. Pseudoconcave Functions 89
3.6. Generalized Concave Mathematical Programs 94
4. Application of Generalized Concavity to Economics 101
4.1. The Cost Function 101
4.2. Duality between Cost and Production Functions 112
4.3. Generalized Concavity and Producer Theory 118
4.4. The Consumer s Utility Maximization Problem 125
4.5. Semistrict Quasiconcavity and Consumer Theory 130
4.6. Strict Quasiconcavity and Consumer Theory 131
4.7. Strong Pseudoconcavity and Consumer Theory 133
4.8. Pseudoconcavity and Consumer Theory 137
4.9. Profit Maximization and Comparative Statics Analysis 139
4.10. Concave Programs and Economics 141
ix
x Contents
5. Special Functional Forms I: Composite Functions, Products, and Ratios . 153
5.1. Composite Functions 154
5.2. Products and Ratios 158
6. Special Functional Forms II: Quadratic Functions 167
6.1. Main Characterization of Quasiconcave, Pseudoconcave, and
Strictly Pseudoconcave Quadratic Functions 168
6.2. Characterizations in Terms of an Augmented Hessian 182
6.3. Characterizations in Terms of the Bordered Hessian 186
6.4. Strictly Quasiconcave and Strongly Pseudoconcave Quadratic
Functions 190
6.5. Quadratic Functions of Nonnegative Variables 192
7. Fractional Programming 207
7.1. Notation and Definitions 207
7.2. Applications 210
7.3. Concave Fractional Programs 214
7.4. Algorithms in Concave Fractional Programming 224
8. Concave Transformable Functions 231
8.1. Concave Transformable Functions: Range Transformation .... 232
8.2. Conditions for Concavifiability of Twice Continuously
Differentiable (C2) Functions 242
8.3. Concave Transformable Functions: Domain and Range
Transformations 281
9. Additional Generalizations of Concavity 293
9.1. F Concave Functions 294
9.2. Generalized Arcwise Connected Functions 304
Supplementary Bibliography 321
Author Index 325
Subject Index 329
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| id | DE-604.BV000825703 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:20:05Z |
| institution | BVB |
| isbn | 0306426560 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000518297 |
| oclc_num | 16753963 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-20 DE-824 DE-706 DE-11 |
| owner_facet | DE-12 DE-739 DE-20 DE-824 DE-706 DE-11 |
| physical | X, 332 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Plenum Pr. |
| record_format | marc |
| series | Mathematical concepts and methods in science and engineering |
| series2 | Mathematical concepts and methods in science and engineering |
| spelling | Generalized concavity Mordecai Avriel ... New York u.a. Plenum Pr. 1988 X, 332 S. txt rdacontent n rdamedia nc rdacarrier Mathematical concepts and methods in science and engineering 36 Fonctions concaves Fonctions concaves ram Concave functions Konkave Funktion (DE-588)4290978-8 gnd rswk-swf Konkave Funktion (DE-588)4290978-8 s DE-604 Avriel, Mordekhai Sonstige (DE-588)127119523 oth Mathematical concepts and methods in science and engineering 36 (DE-604)BV000001144 36 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000518297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Generalized concavity Mathematical concepts and methods in science and engineering Fonctions concaves Fonctions concaves ram Concave functions Konkave Funktion (DE-588)4290978-8 gnd |
| subject_GND | (DE-588)4290978-8 |
| title | Generalized concavity |
| title_auth | Generalized concavity |
| title_exact_search | Generalized concavity |
| title_full | Generalized concavity Mordecai Avriel ... |
| title_fullStr | Generalized concavity Mordecai Avriel ... |
| title_full_unstemmed | Generalized concavity Mordecai Avriel ... |
| title_short | Generalized concavity |
| title_sort | generalized concavity |
| topic | Fonctions concaves Fonctions concaves ram Concave functions Konkave Funktion (DE-588)4290978-8 gnd |
| topic_facet | Fonctions concaves Concave functions Konkave Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000518297&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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