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An Introduction to the Theory of Functional Equations and Inequalities : Cauchy's Equation and Jensen's Inequality - Marek Kuczma
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Marek Kuczma:

An Introduction to the Theory of Functional Equations and Inequalities : Cauchy's Equation and Jensen's Inequality - Taschenbuch

2008, ISBN: 3764387483

[EAN: 9783764387488], Neubuch, [SC: 0.0], [PU: Birkhäuser Basel], ANALYSIS / FUNKTIONALANALYSIS; UNGLEICHUNG; FUNCTIONALEQUATION; MEASURE; STABILITY; MEASURETHEORY, Druck auf Anfrage Neuw… Mehr…

NEW BOOK. Versandkosten:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Marek Kuczma:

An Introduction to the Theory of Functional Equations and Inequalities - Taschenbuch

2008, ISBN: 3764387483

[EAN: 9783764387488], Neubuch, [PU: Birkhäuser Basel Dez 2008], ANALYSIS / FUNKTIONALANALYSIS; UNGLEICHUNG; FUNCTIONALEQUATION; MEASURE; STABILITY; MEASURETHEORY, This item is printed on … Mehr…

NEW BOOK. Versandkosten:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 5 (von 5)]
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An Introduction to the Theory of Functional Equations and Inequalities - Marek Kuczma; Attila Gilányi
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Marek Kuczma; Attila Gilányi:
An Introduction to the Theory of Functional Equations and Inequalities - Taschenbuch

2008

ISBN: 9783764387488

Cauchy's Equation and Jensen's Inequality, Buch, Softcover, 2nd ed. 2009, Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991.After finishing high school in his home… Mehr…

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An Introduction to the Theory of Functional Equations and Inequalities
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An Introduction to the Theory of Functional Equations and Inequalities - neues Buch

ISBN: 9783764387488

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 h… Mehr…

Nr. 978-3-7643-8748-8. Versandkosten:Worldwide free shipping, , DE. (EUR 0.00)
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An Introduction to the Theory of Functional Equations and Inequalities
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An Introduction to the Theory of Functional Equations and Inequalities - neues Buch

ISBN: 9783764387488

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 h… Mehr…

Nr. 978-3-7643-8748-8. Versandkosten:Worldwide free shipping, , DE. (EUR 0.00)

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Details zum Buch
An Introduction to the Theory of Functional Equations and Inequalities

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) TOC:Introduction.- I. Set Theory.- II. Topology.- III. Measure Theory.- IV. Algebra.- V. Additive Functions and Convex Functions.- VI. Elementary Properties of Convex Functions.- VII. Continuous Convex Functions.- VIII. Inequalities.- IX. Boundedness and Continuity of Convex and Additive Functions.- X. The Classes A, B, C.- XI. Properties of Hamel Bases.- XII. Further Properties of Additive and Convex Functions.- XIII. Related Equations.- XIV. Derivations and Automorphisms.- XV. Convex Functions of Higher Order.- XVI. Subadditive Functions.- XVII. Nearly Additive and Nearly Convex Functions.- XVIII. Extensions of Homomorphisms.- Bibliography.

Detailangaben zum Buch - An Introduction to the Theory of Functional Equations and Inequalities


EAN (ISBN-13): 9783764387488
ISBN (ISBN-10): 3764387483
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2008
Herausgeber: Springer Basel
595 Seiten
Gewicht: 1,172 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2008-01-26T15:34:29+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-25T12:13:23+02:00 (Berlin)
ISBN/EAN: 9783764387488

ISBN - alternative Schreibweisen:
3-7643-8748-3, 978-3-7643-8748-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: kuczma, marek, gila, attila, cauchy, jensen
Titel des Buches: functional equations inequalities, theory equations, introduction inequalities, jensen, cauchy, the equation


Daten vom Verlag:

Autor/in: Marek Kuczma
Titel: An Introduction to the Theory of Functional Equations and Inequalities - Cauchy's Equation and Jensen's Inequality
Verlag: Birkhäuser; Springer Basel
595 Seiten
Erscheinungsjahr: 2008-12-10
Basel; CH
Sprache: Englisch
87,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematik; functional equation; inequalities; measure; measure theory; stability; Analysis; EA

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.

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