Stability of Functional Equations in Several Variables [1 ed.] 9783764340247, 376434024X, 081764024X
The notion of stability of functional equations of several variables in the sense used here had its origins more than ha
212 36 2MB
English Pages 318 [321] Year 1998
Table of contents :
Front Matter....Pages i-vii
Prologue....Pages 1-10
Introduction....Pages 11-14
Approximately Additive and Approximately Linear Mappings....Pages 15-44
Stability of the Quadratic Functional Equation....Pages 45-77
Generalizations. The Method of Invariant Means....Pages 78-101
Approximately Multiplicative Mappings. Superstability....Pages 102-131
The Stability of Functional Equations for Trigonometric and Similar Functions....Pages 132-154
Functions with Bounded n th Differences....Pages 155-165
Approximately Convex Functions....Pages 166-179
Stability of the Generalized Orthogonality Functional Equation....Pages 180-203
Stability and Set-Valued Functions....Pages 204-231
Stability of Stationary and Minimum Points....Pages 232-245
Functional Congruences....Pages 246-276
Quasi-Additive Functions and Related Topics....Pages 277-289
Back Matter....Pages 290-318
Front Matter....Pages i-vii
Prologue....Pages 1-10
Introduction....Pages 11-14
Approximately Additive and Approximately Linear Mappings....Pages 15-44
Stability of the Quadratic Functional Equation....Pages 45-77
Generalizations. The Method of Invariant Means....Pages 78-101
Approximately Multiplicative Mappings. Superstability....Pages 102-131
The Stability of Functional Equations for Trigonometric and Similar Functions....Pages 132-154
Functions with Bounded n th Differences....Pages 155-165
Approximately Convex Functions....Pages 166-179
Stability of the Generalized Orthogonality Functional Equation....Pages 180-203
Stability and Set-Valued Functions....Pages 204-231
Stability of Stationary and Minimum Points....Pages 232-245
Functional Congruences....Pages 246-276
Quasi-Additive Functions and Related Topics....Pages 277-289
Back Matter....Pages 290-318
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- Author / Uploaded
- Donald H. Hyers
- George Isac
- Themistocles M. Rassias (auth.)
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