Stability of Functional Equations in Several Variables

Author:   D.H. Hyers ,  G. Isac ,  Themistocles Rassias
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   34
ISBN:  

9781461272847


Pages:   318
Publication Date:   05 October 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Stability of Functional Equations in Several Variables


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Author:   D.H. Hyers ,  G. Isac ,  Themistocles Rassias
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1998
Volume:   34
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.504kg
ISBN:  

9781461272847


ISBN 10:   146127284
Pages:   318
Publication Date:   05 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Prologue.- 1. Introduction.- 2. Approximately Additive and Approximately Linear Mappings.- 3. Stability of the Quadratic Functional Equation.- 4. Generalizations. The Method of Invariant Means.- 5. Approximately Multiplicative Mappings. Superstability.- 6. The Stability of Functional Equations for Trigonometric and Similar Functions.- 7. Functions with Bounded nth Differences.- 8. Approximately Convex Functions.- 9. Stability of the Generalized Orthogonality Functional Equation.- 10. Stability and Set-Valued Functions.- 11. Stability of Stationary and Minimum Points.- 12. Functional Congruences.- 13. Quasi-Additive Functions and Related Topics.- References.

Reviews

...The book under review is an exhaustive presentation of the results in the field, not called Hyers-Ulam stability. It contains chapters on approximately additive and linear mappings, stability of the quadratic functional equation, approximately multiplicative mappings, functions with bounded differences, approximately convex functions. The book is of interest not only for people working in functional equations but also for all mathematicians interested in functional analysis. -Zentralblatt Math Contains survey results on the stability of a wide class of functional equations and therefore, in particular, it would be interesting for everyone who works in functional equations theory as well as in the theory of approximation. -Mathematical Reviews


"""…The book under review is an exhaustive presentation of the results in the field, not called Hyers-Ulam stability. It contains chapters on approximately additive and linear mappings, stability of the quadratic functional equation, approximately multiplicative mappings, functions with bounded differences, approximately convex functions. The book is of interest not only for people working in functional equations but also for all mathematicians interested in functional analysis."" –Zentralblatt Math ""Contains survey results on the stability of a wide class of functional equations and therefore, in particular, it would be interesting for everyone who works in functional equations theory as well as in the theory of approximation."" –Mathematical Reviews"


...The book under review is an exhaustive presentation of the results in the field, not called Hyers-Ulam stability. It contains chapters on approximately additive and linear mappings, stability of the quadratic functional equation, approximately multiplicative mappings, functions with bounded differences, approximately convex functions. The book is of interest not only for people working in functional equations but also for all mathematicians interested in functional analysis. -Zentralblatt Math Contains survey results on the stability of a wide class of functional equations and therefore, in particular, it would be interesting for everyone who works in functional equations theory as well as in the theory of approximation. -Mathematical Reviews


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