Stability of an Additive-Cubic-Quartic Functional Equation

@inproceedings{EshaghiGordji2010StabilityOA,
  title={Stability of an Additive-Cubic-Quartic Functional Equation},
  author={M. Eshaghi-Gordji and S. Kaboli-Gharetapeh and Choonkil Park and Somayyeh Zolfaghari},
  year={2010}
}
  • M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, +1 author Somayyeh Zolfaghari
  • Published 2010
The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of Ulam for Banach spaces. Hyers’ Theorem was generalized by Aoki 3 for additive mappings and by Rassias 4 for linear mappings by considering an unbounded Cauchy difference. The paper of Rassias 4 has provided a lot of influence in the development of what we call generalized Hyers-Ulam stability or… CONTINUE READING
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