Title | Functional Equations โ Results and Advances [electronic resource] / edited by Zoltรกn Darรณczy, Zsolt Pรกles |
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Imprint | Boston, MA : Springer US : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-5288-5 |
Descript | X, 361 p. online resource |
I. Classical Functional Equations and Inequalities -- On some trigonometric functional inequalities -- On the continuity of additiveโlike functions and Jensen convex functions which are Borel on a sphere -- Note on a functionalโdifferential inequality -- A characterization of stationary sets for the class of Jensen convex functions -- On the characterization of Weierstrassโs sigma function -- On a Mikusi?skiโJensen functional equation -- II. Stability of Functional Equations -- Stability of the multiplicative Cauchy equation in ordered fields -- On approximately monomial functions -- Les opรฉrateurs de Hyers -- Geometrical aspects of stability -- III. Functional Equations in One Variable and Iteration Theory -- On semi-conjugacy equation for homeomorphisms of the circle -- A survey of results and open problems on the Schilling equation -- Properties of an operator acting on the space of bounded real functions and certain subspaces -- IV. Composite Functional Equations and Theory of Means -- A Matkowski-Sutรด type problem for quasi-arithmetic means of order ? -- An extension theorem for conjugate arithmetic means -- Homogeneous Cauchy mean values -- On invariant generalized Beckenbach-Gini means -- Final part of the answer to a Hilbertโs question -- V. Functional Equations on Algebraic Structures -- A generalization of dโAlembertโs functional equation -- About a remarkable functional equation on some restricted domains -- On discrete spectral synthesis -- Hyers theorem and the cocycle property -- VI. Functional Equations in Functional Analysis -- Mappings whose derivatives are isometries -- Localizable functionals -- Jordan maps on standard operator algebras -- VII. Bisymmetry and Associativity Type Equations on Quasigroups -- On the functional equation S1(x, y) = S2(x, T(N(x), y)) -- Generalized associativity on rectangular quasigroups -- The aggregation equation: solutions with non intersecting partial functions