Concepedia

Functional Inequalities Associated with Jordan‐von Neumann‐Type Additive Functional Equations

Choonkil Park, Young Sun Cho, Mi-Hyen Han

Journal of Inequalities and Applications · 2007 · 144 citations · 14 references

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Concepts

Abstract

We prove the generalized Hyers‐Ulam stability of the following functional inequalities: , , in the spirit of the Rassias stability approach for approximately homomorphisms.

References

14

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, , +7

A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

P. Găvruţa · Journal of Mathematical Analysis and Applications · 1994 · 1.7K citations

, , +4

Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach

Matthias Birkner, José Alfredo López-Mimbela, Anton Wakolbinger · Proceedings of the American Mathematical Society · 2002 · 1K citations · Full text

, , +9

On stability of additive mappings

Zbigniew Gajda · International Journal of Mathematics and Mathematical Sciences · 1991 · 854 citations · Full text

, , +2

On the Stability of the Linear Mapping in Banach Spaces

Themistocles M. Rassias · Proceedings of the American Mathematical Society · 1978 · 631 citations

, , +7