Certain properties of difference operator and stability of Fréchet functional equation
Abstract Let M be a commutative monoid, and let B be a Banach space. We give a new recursive method to obtain a Gǎvruţa-type stability result for the functional equation Δ y n + 1 f ( x ) : = ∑ k = 0 n + 1 ( − 1 ) n + 1 + k ( n + 1 k ) f ( x + k y ) = 0 via algebraic manipulations of the forward dif...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02561-9 |