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Catalogue Information
Field name	Details
Dewey Class	515.75
Title	Functional Equations, Inequalities and Applications ([EBook]) / edited by Themistocles M. Rassias.
Added Personal Name	Rassias, Themistocles M. , 1951-
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 2003.
Physical Details	IX, 224 pages : online resource.
ISBN	9789401702256
Summary Note	Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.:
Contents note	1 Hyers—Ulam stability of a quadratic functional equation in Banach modules -- 2 Cauchy and Pexider operators in some function spaces -- 3 The median principle for inequalities and applications -- 4 On the Hyers—Ulam—Rassias stability of a Pexiderized quadratic equation II -- 5 On the Hyers—Ulam—Rassias stability of a functional equation -- 6 A pair of functional inequalities of iterative type related to a Cauchy functional equation -- 7 On approximate algebra homomorphisms -- 8 Hadamard and Dragomir—Agarwal inequalities, the Euler formulae and convex functions -- 9 On Ulam stability in the geometry of PDE’s -- 10 On certain functional equations and mean value theorems -- 11 Some general approximation error and convergence rate estimates in statistical learning theory -- 12 Functional equations on hypergroups -- 13 The generalized Cauchy functional equation -- 14 On the Aleksandrov—Rassias problem for isometric mappings.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-0225-6
Links to Related Works	Subject References: Approximation theory . Approximations and Expansions . Difference equations . Functional Analysis . Functional equations . Functions of real variables . Partial differential equations . Real Functions . Authors: Rassias, Themistocles M., 1951- . editor . Rassias, Themistocles M. 1951- . Corporate Authors: SpringerLink (Online service) . Classification: 515.625 . 515.75 .

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Functional Equations, Inequalities and Applications

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