Description |
1 online resource (xiii, 362 pages) |
Series |
Springer optimization and its applications ; v. 48 |
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Springer optimization and its applications ; v. 48.
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Contents |
1. Introduction -- 2. Additive cauchy equation -- 3. Generalized additive cauchy equations -- 4. Hosszú's functional equation -- 5. Homogeneous functional equation -- 6. Linear functional equations -- 7. Jensen's functional equation -- 8. Quadratic functional equation -- 9. Exponential functional equations -- 10. Muliplicative functional equations -- 11. Logarithmic functional equations -- 12. Trigonometric functional equations -- 13. Isometric functional equation -- 14. Miscellaneous |
Summary |
This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th. M. Rassias (© Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the classical results of¡ the Hyers-Ulam-Rassias stability. The self-contained text is presented in an easy to understand fashion and all the necessary materials and information are included in order to appeal to a diverse audience with interests in difference and functional equations and functional analysis. Highlights of the text include discussions of the method of invariant means and the fixed point method, ¡ the stability problems for the exponential functional equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Pexider equation, and superstability of the exponential function |
Bibliography |
Includes bibliographical references and index |
Notes |
Print version record |
Subject |
Functional equations.
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Functional analysis.
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Ecuaciones funcionales
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Functional analysis
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Functional equations
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Form |
Electronic book
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ISBN |
9781441996374 |
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1441996370 |
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1441996362 |
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9781441996367 |
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