Abstract
Let , and be positive integers. Let be an algebra and let be an -bimodule. A -linear mapping is called a generalized -derivation if there exists a -derivation such that for all . The main purpose of this paper is to prove the generalized Hyers-Ulam stability of the generalized -derivations.
Highlights
It seems that the stability problem of functional equations introduced by Ulam 1
If in addition for every x ∈ E, f tx is continuous in real t for each fixed x, T is linear
We investigate the generalized Hyers-Ulam stability of the generalized n, k -derivations
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Summary
Introduction
It seems that the stability problem of functional equations introduced by Ulam 1.
Objectives
Results
Conclusion
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