A Mean-Value Property of Cubic Polynomials-without Mean Values

DOI10.2307/2690493zbMath0786.39002OpenAlexW4238871753MaRDI QIDQ3136711

D. F. Bailey

Publication date: 20 October 1993

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2690493

zbMATH Keywords

continuitydifferentiabilityfunctional equationcubic polynomialsdivided differencesmean value properties

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Difference operators (39A70)

Related Items (7)

A divided-difference characterization of polynomials over finite fields of characteristic two ⋮ Characterizations of polynomials with mean value properties ⋮ On a characterization of polynomials by divided differences ⋮ Characterization of polynomials and divided difference ⋮ Polytopes and the mean value property ⋮ Functional equations stemming from numerical analysis ⋮ On the characterization of polynomials and rational functions using divided differences

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