Functional equations and inequalities with applications / Pl. Kannappan
Type de document : Livre numériqueCollection : Springer monographs in mathematicsLangue : anglais.Éditeur : Boston : Springer, 2009ISBN: 9780387894928.ISSN: 1439-7382.Sujet MSC : 39Bxx, Difference and functional equations - Functional equations and inequalities39B22, Functional equations and inequalities, Functional equations for real functions
39B42, Functional equations and inequalities, Matrix and operator functional equations
39B52, Functional equations and inequalities, Functional equations for functions with more general domains and/or ranges
39B62, Functional equations and inequalities, Functional inequalities, including subadditivity, convexity, etc.En-ligne : Springerlink | Zentralblatt | MathSciNet
This book should be of considerable interest for students and scholars working on functional equations. Some of the chapters treat in detail classical subjects such as Cauchy, trigonometric and quadratic functional equations and present most recent results from the literature. Other chapters consider topics like nondifferentiable functions, characterization of groups, loops, and closure conditions, functional equations in information theory, difference equations and characterizations of special functions, which, as far as I know, are presented in a coherent form for the first time, collecting and integrating results scattered in various research papers.
A final hundred pages of applications of functional equations and inequalities to several problems, ranging from geometry to physics, from economics to statistics and behavioural sciences, together with a comprehensive bibliography of more than 800 titles, conclude this interesting book. (MathSciNet)
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