Approximate tri-quadratic functional equations via Lipschitz conditions
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.
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Format: | Article |
Language: | English |
Published: |
Institute of Mathematics of the Czech Academy of Science
2017-12-01
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Series: | Mathematica Bohemica |
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Online Access: | http://mb.math.cas.cz/full/142/4/mb142_4_1.pdf |