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 571-586) 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
- 10.1007/978-3-7643-8749-5
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-7643-8748-8
- 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 571-586) 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
- 10.1007/978-3-7643-8749-5
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-3-7643-8748-8
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/An-introduction-to-the-theory-of-functional/j_ZjLLEqdno/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/An-introduction-to-the-theory-of-functional/j_ZjLLEqdno/">An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality, Marek Kuczma ; edited by Attila Gilányi</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
