Reference : A new invariance identity and means |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/36499 | |||

A new invariance identity and means | |

English | |

Devillet, Jimmy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

Matkowski, Janusz [] | |

10-Sep-2018 | |

Results in Mathematics | |

Springer | |

73 | |

4 | |

130 | |

Yes | |

International | |

1422-6383 | |

1420-9012 | |

Basel | |

Germany | |

[en] invariant functions ; mean ; invariant mean ; reflexivity ; iteration ; functional equation | |

[en] The invariance identity involving three operations D_{f,g} : X x X -> X of the form
D_{f,g} (x,y) = (f o g)^{-1} (f (x) + g (y)) , is proposed. The connections of these operations with means is investigated. The question when the invariance equality admits three means leads to a com- posite functional equation. Problem to determine its continuous solutions is posed | |

University of Luxembourg - UL ; Fonds National de la Recherche - FnR | |

Researchers | |

http://hdl.handle.net/10993/36499 | |

10.1007/s00025-018-0890-x |

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