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Stability of a Fréchet-type functional equation
Abstract
We establish the generalized Hyers-Ulam stability of the Fréchet-type functional equation ∑∅ ≠ I ⊂ { 1, 2, …, n+1 } (−1)|I|−n+1 f ( ∑i ∈ I xi ) = 0 in the sense of Găvruţa.
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BibTeX
@misc{jin2026stability,
title = {{Stability of a Fréchet-type functional equation}},
author = {Sun-Sook Jin and Soon-Mo Jung and Yang-Hi Lee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38409},
eprint = {2610.38409},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38409},
}
RIS
TY - UNPB
TI - Stability of a Fréchet-type functional equation
AU - Sun-Sook Jin
AU - Soon-Mo Jung
AU - Yang-Hi Lee
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38409
UR - https://arxiv.org/abs/2610.38409
AB - We establish the generalized Hyers-Ulam stability of the Fréchet-type functional equation ∑_∅ ≠ I ⊂ { 1, 2, …, n+1 } (−1)^|I|−n+1 f ( ∑_i ∈ I x_i ) = 0 in the sense of Găvruţa.
ER -