The Resource An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi
An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi
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The item An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality ..., in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality ... Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 595 pages)
 Note
 Previous edition: Warszawa : Państwowe Wydawn. Naukowe ; Katowice : Uniwersytet Ślas̜ki, 1985
 Contents

 Preliminaries
 Set Theory
 Topology
 Measure Theory
 Algebra
 Cauchy's Functional Equation and Jensen's Inequality
 Additive Functions and Convex Functions
 Elementary Properties of Convex Functions
 Continuous Convex Functions
 Inequalities
 Boundedness and Continuity of Convex Functions and Additive Functions
 The Classes A, B,?
 Properties of Hamel Bases
 Further Properties of Additive Functions and Convex Functions
 Related Topics
 Related Equations
 Derivations and Automorphisms
 Convex Functions of Higher Orders
 Subadditive Functions
 Nearly Additive Functions and Nearly Convex Functions
 Extensions of Homomorphisms
 Isbn
 9783764387495
 Label
 An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality
 Title
 An introduction to the theory of functional equations and inequalities
 Title remainder
 Cauchy's equation and Jensen's inequality
 Statement of responsibility
 Marek Kuczma ; edited by Attila Gilányi
 Subject

 Additive functions
 Additive functions
 Additive functions
 Convex functions
 Convex functions
 Convex functions
 Convex functions
 Functional equations
 Additive functions
 Functional equations
 Functional equations
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Functional equations
 Language
 eng
 Summary
 Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality ..., in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality ... Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Kuczma, Marek
 Dewey number
 515.75
 Index
 index present
 LC call number
 QA431
 LC item number
 .K7919 2009
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 http://library.link/vocab/relatedWorkOrContributorName
 Gilányi, Attila
 http://library.link/vocab/subjectName

 Functional equations
 Inequalities (Mathematics)
 Additive functions
 Convex functions
 Inequalities (Mathematics)
 Additive functions
 Convex functions
 Functional equations
 Additive functions
 Convex functions
 Functional equations
 Inequalities (Mathematics)
 Label
 An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi
 Note
 Previous edition: Warszawa : Państwowe Wydawn. Naukowe ; Katowice : Uniwersytet Ślas̜ki, 1985
 Bibliography note
 Includes bibliographical references (pages 571586) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Set Theory  Topology  Measure Theory  Algebra  Cauchy's Functional Equation and Jensen's Inequality  Additive Functions and Convex Functions  Elementary Properties of Convex Functions  Continuous Convex Functions  Inequalities  Boundedness and Continuity of Convex Functions and Additive Functions  The Classes A, B,?  Properties of Hamel Bases  Further Properties of Additive Functions and Convex Functions  Related Topics  Related Equations  Derivations and Automorphisms  Convex Functions of Higher Orders  Subadditive Functions  Nearly Additive Functions and Nearly Convex Functions  Extensions of Homomorphisms
 Control code
 325024666
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 595 pages)
 Form of item
 online
 Isbn
 9783764387495
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783764387495
 http://library.link/vocab/ext/overdrive/overdriveId
 9783764387488
 Specific material designation
 remote
 System control number
 (OCoLC)325024666
 Label
 An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi
 Note
 Previous edition: Warszawa : Państwowe Wydawn. Naukowe ; Katowice : Uniwersytet Ślas̜ki, 1985
 Bibliography note
 Includes bibliographical references (pages 571586) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Set Theory  Topology  Measure Theory  Algebra  Cauchy's Functional Equation and Jensen's Inequality  Additive Functions and Convex Functions  Elementary Properties of Convex Functions  Continuous Convex Functions  Inequalities  Boundedness and Continuity of Convex Functions and Additive Functions  The Classes A, B,?  Properties of Hamel Bases  Further Properties of Additive Functions and Convex Functions  Related Topics  Related Equations  Derivations and Automorphisms  Convex Functions of Higher Orders  Subadditive Functions  Nearly Additive Functions and Nearly Convex Functions  Extensions of Homomorphisms
 Control code
 325024666
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xiv, 595 pages)
 Form of item
 online
 Isbn
 9783764387495
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783764387495
 http://library.link/vocab/ext/overdrive/overdriveId
 9783764387488
 Specific material designation
 remote
 System control number
 (OCoLC)325024666
Subject
 Additive functions
 Additive functions
 Additive functions
 Convex functions
 Convex functions
 Convex functions
 Convex functions
 Functional equations
 Additive functions
 Functional equations
 Functional equations
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Functional equations
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