Approximate tri-quadratic functional equations via Lipschitz conditions
Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 337-344
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In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.
DOI : 10.21136/MB.2017.0028-16
Classification : 39B52, 39B82
Keywords: tri-quadratic functional equation; Lipschitz space; stability
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Nikoufar, Ismail. Approximate tri-quadratic functional equations via Lipschitz conditions. Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 337-344. doi: 10.21136/MB.2017.0028-16

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