Necessary conditions for an extremum:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker
1971
|
| Schriftenreihe: | Pure and applied mathematics
4 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. - EST: Neobchodimye uslovija ekstremuma (engl.) |
| Beschreibung: | XVIII, 230 S. |
| ISBN: | 082471556X |
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Datensatz im Suchindex
| _version_ | 1804117291580784640 |
|---|---|
| adam_text | TABLE OF CONTENTS
FOREWORD TO THE RUSSIAN EDITION v
FOREWORD TO THE AMERICAN EDITION xvi
INTRODUCTION. ELEMENTS OF FUNCTIONAL
ANALYSIS AND CONVEX SETS 1
1. Some Basic Concepts of Functional Analysis 1
2. Convex Sets 22
3. Convex Functionals 35
CHAPTER 1. PROPERTIES OF CONVEX
FUNCTIONALS 39
CHAPTER II. CONVEX PROGRAMMING IN
BANACH SPACES 54
CHAPTER III. QUASI DIFFERENTIABLE
FUNCTIONALS 68
CHAPTER IV. NECESSARY CONDITIONS FOR
AN EXTREMUM IN GENERAL MATHEMATICAL
PROGRAMMING PROBLEMS 82
CHAPTER V. NECESSARY CONDITIONS FOR AN
EXTREMUM IN CONCRETE PROBLEMS 120
1. The Classical Mathematical Programming
Problem 121
2. Mathematical Programming with a
Continuum of Constraints 122
3. Theorems for Minimax Problems 126
4. Chebyshev Approximation Problems 130
5. A Linear Optimal Control Problem
with Phase Constraints 142
6. A Duality Principle in Convex
Programming 150
xvii
Table of Contents
7. Systems of Convex Inequalities. Helly1 s
Theorem 157
8. The Moment Problem 166
9. A Discrete Maximum Principle 185
SHORT BIBLIOGRAPHY 201
LITERATURE 210
NOTES AND SUPPLEMENTARY BIBLIOGRAPHY
TO AMERICAN EDITION 217
SUPPLEMENTARY LITERATURE 223
SUBJECT INDEX 226
xviii
|
| any_adam_object | 1 |
| author | Pšeničnyj, Boris N. 1937-2000 |
| author_GND | (DE-588)126888256 |
| author_facet | Pšeničnyj, Boris N. 1937-2000 |
| author_role | aut |
| author_sort | Pšeničnyj, Boris N. 1937-2000 |
| author_variant | b n p bn bnp |
| building | Verbundindex |
| bvnumber | BV003002507 |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)440836795 (DE-599)BVBBV003002507 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003002507 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:04Z |
| institution | BVB |
| isbn | 082471556X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001879662 |
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| physical | XVIII, 230 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Pšeničnyj, Boris N. 1937-2000 Verfasser (DE-588)126888256 aut Neobchodimye uslovija ekstremuma Necessary conditions for an extremum B. N. Pshenichnyi New York Dekker 1971 XVIII, 230 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 4 Aus d. Russ. übers. - EST: Neobchodimye uslovija ekstremuma (engl.) Bedingung (DE-588)4005194-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Optimalitätsbedingung (DE-588)4172651-0 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Funktional (DE-588)4155667-7 gnd rswk-swf Extremwert (DE-588)4137272-4 gnd rswk-swf Extremwert (DE-588)4137272-4 s Bedingung (DE-588)4005194-8 s DE-604 Optimierung (DE-588)4043664-0 s Optimalitätsbedingung (DE-588)4172651-0 s 1\p DE-604 Funktional (DE-588)4155667-7 s 2\p DE-604 Konvexe Menge (DE-588)4165212-5 s 3\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 4\p DE-604 Pure and applied mathematics 4 (DE-604)BV000001885 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001879662&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pšeničnyj, Boris N. 1937-2000 Necessary conditions for an extremum Pure and applied mathematics Bedingung (DE-588)4005194-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Optimalitätsbedingung (DE-588)4172651-0 gnd Optimierung (DE-588)4043664-0 gnd Konvexe Menge (DE-588)4165212-5 gnd Funktional (DE-588)4155667-7 gnd Extremwert (DE-588)4137272-4 gnd |
| subject_GND | (DE-588)4005194-8 (DE-588)4018916-8 (DE-588)4172651-0 (DE-588)4043664-0 (DE-588)4165212-5 (DE-588)4155667-7 (DE-588)4137272-4 |
| title | Necessary conditions for an extremum |
| title_alt | Neobchodimye uslovija ekstremuma |
| title_auth | Necessary conditions for an extremum |
| title_exact_search | Necessary conditions for an extremum |
| title_full | Necessary conditions for an extremum B. N. Pshenichnyi |
| title_fullStr | Necessary conditions for an extremum B. N. Pshenichnyi |
| title_full_unstemmed | Necessary conditions for an extremum B. N. Pshenichnyi |
| title_short | Necessary conditions for an extremum |
| title_sort | necessary conditions for an extremum |
| topic | Bedingung (DE-588)4005194-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Optimalitätsbedingung (DE-588)4172651-0 gnd Optimierung (DE-588)4043664-0 gnd Konvexe Menge (DE-588)4165212-5 gnd Funktional (DE-588)4155667-7 gnd Extremwert (DE-588)4137272-4 gnd |
| topic_facet | Bedingung Funktionalanalysis Optimalitätsbedingung Optimierung Konvexe Menge Funktional Extremwert |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001879662&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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