Name: Functional Equations — Results and Advances
ISBN: 978-1-4757-5288-5

Editors:

Zoltán Daróczy⁰,
Zsolt Páles¹

Zoltán Daróczy
1. Institute of Mathematics and Informatics, University of Debrecen, Hungary
View editor publications

You can also search for this editor in PubMed Google Scholar
Zsolt Páles
1. Institute of Mathematics and Informatics, University of Debrecen, Hungary
View editor publications

You can also search for this editor in PubMed Google Scholar

Part of the book series: Advances in Mathematics (ADMA, volume 3)

8055 Accesses
60 Citations

Buy it now

eBook USD 84.99

Price excludes VAT (USA)

Softcover Book USD 109.99

Price excludes VAT (USA)

Hardcover Book USD 109.99

Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Learn about institutional subscriptions

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (28 chapters)

Front Matter

Pages i-x

PDF
Classical Functional Equations and Inequalities
1. Front Matter
  
  Pages 1-1
  
  PDF
2. On Some Trigonometric Functional Inequalities
  
  Roman Badora, Roman Ger
  
  Pages 3-15
3. On the Continuity of Additive—Like Functions and Jensen Convex Functions which are Borel on a Sphere
  
  Karol Baron
  
  Pages 17-20
4. Note on a Functional—Differential Inequality
  
  Bogdan Choczewski
  
  Pages 21-24
5. A Characterization of Stationary Sets for the Class of Jensen Convex Functions
  
  Roman Ger, Kazimierz Nikodem
  
  Pages 25-28
6. On the Characterization of Weierstrass’s Sigma Function
  
  Antal Járai, Wolfgang Sander
  
  Pages 29-79
7. On a Mikusiński—Jensen Functional Equation
  
  Károly Lajkó, Zsolt Páles
  
  Pages 81-87
Stability of Functional Equations
1. Front Matter
  
  Pages 89-89
  
  PDF
2. Stability of the Multiplicative Cauchy Functional Equation in Ordered Fields
  
  Zoltán Boros
  
  Pages 91-98
3. On Approximately Monomial Functions
  
  Attila Gilányi
  
  Pages 99-111
4. Les Opérateurs de Hyers
  
  Zenon Moszner
  
  Pages 113-122
5. Geometrical Aspects of Stability
  
  Jacek Tabor, Józef Tabor
  
  Pages 123-132
Functional Equations in One Variable and Iteration Theory
1. Front Matter
  
  Pages 133-133
  
  PDF
2. On Semi-Conjugacy Equation for Homeomorphisms of the Circle
  
  Krzysztof Ciepliński, Marek Cezary Zdun
  
  Pages 135-158
3. A Survey of Results and Open Problems on the Schilling Equation
  
  Roland Girgensohn
  
  Pages 159-174
4. Properties of an Operator Acting on the Space of Bounded Real Functions and Certain Subspaces
  
  Hans-Heinrich Kairies
  
  Pages 175-186
Composite Functional Equations and Theory of Means
1. Front Matter
  
  Pages 187-187
  
  PDF
2. A Matkowski-Sutô Type Problem for Quasi-Arithmetic Means of Order α
  
  Zoltán Daróczy, Zsolt Páles
  
  Pages 189-200
3. An Extension Theorem for the Matkowski—Sutô Problem for Conjugate Arithmetic Means
  
  Gabriella Hajdu
  
  Pages 201-208

About this book

The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations of newer and newer types of functional equations. At the same time, the self development of this theory was also very fruitful. This can be followed in many monographs that treat and discuss the various methods and approaches. These developments were also essentially influenced by a number jour nals, for instance, by the Publicationes Mathematicae Debrecen (founded in 1953) and by the Aequationes Mathematicae (founded in 1968), be cause these journals published papers from the field of functional equa tions readily and frequently. The latter journal also publishes the yearly report of the International Symposia on Functional Equations and a comprehensive bibliography of the most recent papers. At the same time, there are periodically and traditionally organized conferences in Poland and in Hungary devoted to functional equations and inequali ties. In 2000, the 38th International Symposium on Functional Equations was organized by the Institute of Mathematics and Informatics of the University of Debrecen in Noszvaj, Hungary. The report about this meeting can be found in Aequationes Math. 61 (2001), 281-320.

Keywords

Editors and Affiliations

Institute of Mathematics and Informatics, University of Debrecen, Hungary

Zoltán Daróczy, Zsolt Páles

Bibliographic Information

Book Title: Functional Equations — Results and Advances
Editors: Zoltán Daróczy, Zsolt Páles
Series Title: Advances in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-5288-5
Publisher: Springer New York, NY
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2002
Hardcover ISBN: 978-1-4020-0485-8Published: 28 February 2002
Softcover ISBN: 978-1-4419-5210-3Published: 01 December 2010
eBook ISBN: 978-1-4757-5288-5Published: 29 June 2013
Edition Number: 1
Number of Pages: X, 361
Topics: Difference and Functional Equations, Sequences, Series, Summability, Functional Analysis, Abstract Harmonic Analysis, Special Functions

Publish with us

Policies and ethics

Editors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (28 chapters)

Front Matter

Classical Functional Equations and Inequalities

Front Matter

Stability of Functional Equations

Front Matter

Functional Equations in One Variable and Iteration Theory

Front Matter

Composite Functional Equations and Theory of Means

Front Matter

About this book

Keywords

Editors and Affiliations

Institute of Mathematics and Informatics, University of Debrecen, Hungary

Bibliographic Information

Publish with us

Buy it now

Buying options

Other ways to access

Search

Navigation