Using Aichinger’s equation to characterize polynomial functions
نویسندگان
چکیده
Abstract Aichinger’s equation is used to give simple proofs of several well-known characterizations polynomial functions as solutions certain functional equations. Concretely, we use that characterizes solve, for arbitrary commutative groups, Ghurye–Olkin’s equation, Wilson’s the Kakutani–Nagumo–Walsh and a general version Fréchet’s unmixed equation.
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ژورنال
عنوان ژورنال: Aequationes Mathematicae
سال: 2022
ISSN: ['0001-9054', '1420-8903']
DOI: https://doi.org/10.1007/s00010-022-00926-x