Holdings: Generalized convexity and optimization

Generalized convexity and optimization: theory and applications

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Bibliographic Details
Main Authors:	Cambini, Alberto (Author), Martein, Laura (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2009
Series:	Lecture notes in economics and mathematical systems 616
Subjects:	Gebrochene Optimierung Verallgemeinerte konvexe Funktion
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UER01 UPA01 Volltext Inhaltsverzeichnis
Physical Description:	1 Online-Ressource
ISBN:	9783540708766
DOI:	10.1007/978-3-540-70876-6

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MARC


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adam_text	CONTENTS CONVEX FUNCTIONS 1 1.1 INTRODUCTION 1 1.2 CONVEX SETS 1 1.2.1 TOPOLOGICAL PROPERTIES OF CONVEX SETS 3 1.2.2 RELATIVE INTERIOR OF CONVEX SETS 4 1.2.3 EXTREME POINTS AND EXTREME DIRECTIONS 4 1.2.4 SUPPORTING HYPERPLANES AND SEPARATION THEOREMS 6 1.2.5 CONVEX CONES AND POLARITY 7 1.3 CONVEX FUNCTIONS 10 1.3.1 ALGEBRAIC STRUCTURE OF THE CONVEX FUNCTIONS 13 1.3.2 COMPOSITE FUNCTION 13 1.3.3 DIFFERENTIABLE AND TWICE DIFFERENTIABLE CONVEX FUNCTIONS 14 1.4 CONVEXITY AND HOMOGENEITY 16 1.5 MINIMA OF CONVEX FUNCTIONS 17 1.6 EXERCISES 18 1.7 REFERENCES 21 NON-DIFFERENTIABLE GENERALIZED CONVEX FUNCTIONS 23 2.1 INTRODUCTION 23 2.2 QUASICONVEXITY AND STRICT QUASICONVEXITY 23 2.3 SEMISTRICT QUASICONVEXITY 30 2.4 GENERALIZED CONVEXITY OF SOME HOMOGENEOUS FUNCTIONS 34 2.4.1 THE COBB-DOUGLAS FUNCTION 34 2.4.2 THE CONSTANT ELASTICITY OF SUBSTITUTION (C.E.S.) FUENCTION 35 2.4.3 THE LEONTIEF PRODUCTION FUNCTION 35 2.4.4 A GENERALIZED COBB-DOUGLAS FUNCTION 35 2.5 GENERALIZED QUASICONVEX FUNCTIONS IN ONE VARIABLE 36 2.6 EXERCISES 38 2.7 REFERENCES 40 GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989493210 DIGITALISIERT DURCH * * * * * * XIV CONTENTS 9 SOLUTIONS 195 REFERENCES 213 A MATHEMATICAL REVIEW 229 A.L SETS 229 A.2 THE EUCLIDEAN SPACE 3? 230 A.3 TOPOLOGICAL CONCEPTS 234 A.4 FUNCTIONS 235 B CONCAVE AND GENERALIZED CONCAVE FUNCTIONS 241 INDEX 247
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author	Cambini, Alberto Martein, Laura
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series	Lecture notes in economics and mathematical systems
series2	Lecture notes in economics and mathematical systems
spelling	Cambini, Alberto Verfasser aut Generalized convexity and optimization theory and applications Alberto Cambini ; Laura Martein Berlin [u.a.] Springer 2009 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Lecture notes in economics and mathematical systems 616 Gebrochene Optimierung (DE-588)4198913-2 gnd rswk-swf Verallgemeinerte konvexe Funktion (DE-588)4262100-8 gnd rswk-swf Verallgemeinerte konvexe Funktion (DE-588)4262100-8 s Gebrochene Optimierung (DE-588)4198913-2 s DE-604 Martein, Laura Verfasser aut Lecture notes in economics and mathematical systems 616 (DE-604)BV036652996 616 https://doi.org/10.1007/978-3-540-70876-6 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017480626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Cambini, Alberto Martein, Laura Generalized convexity and optimization theory and applications Lecture notes in economics and mathematical systems Gebrochene Optimierung (DE-588)4198913-2 gnd Verallgemeinerte konvexe Funktion (DE-588)4262100-8 gnd
subject_GND	(DE-588)4198913-2 (DE-588)4262100-8
title	Generalized convexity and optimization theory and applications
title_auth	Generalized convexity and optimization theory and applications
title_exact_search	Generalized convexity and optimization theory and applications
title_full	Generalized convexity and optimization theory and applications Alberto Cambini ; Laura Martein
title_fullStr	Generalized convexity and optimization theory and applications Alberto Cambini ; Laura Martein
title_full_unstemmed	Generalized convexity and optimization theory and applications Alberto Cambini ; Laura Martein
title_short	Generalized convexity and optimization
title_sort	generalized convexity and optimization theory and applications
title_sub	theory and applications
topic	Gebrochene Optimierung (DE-588)4198913-2 gnd Verallgemeinerte konvexe Funktion (DE-588)4262100-8 gnd
topic_facet	Gebrochene Optimierung Verallgemeinerte konvexe Funktion
url	https://doi.org/10.1007/978-3-540-70876-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017480626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV036652996
work_keys_str_mv	AT cambinialberto generalizedconvexityandoptimizationtheoryandapplications AT marteinlaura generalizedconvexityandoptimizationtheoryandapplications

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