Characterizations of polynomials with mean value properties

DOI10.1016/0893-9659(93)90043-MzbMath0783.39010OpenAlexW2032339533MaRDI QIDQ2367990

Yanyan Li

Publication date: 19 August 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90043-m

zbMATH Keywords

functional equationsdivided differencemean value propertiescharacterization of polynomials

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for functions with more general domains and/or ranges (39B52) Real polynomials: analytic properties, etc. (26C05)

Related Items (2)

Characterizations of polynomials with mean value properties ⋮ On the characterization of polynomials and rational functions using divided differences

Cites Work

• A generalization of the mean mean value theorem
• On two mean value properties and functional equations associated with them
• Characterizations of polynomials with mean value properties
• A Mean-Value Property of Cubic Polynomials-without Mean Values
• A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives
• A Property of Quadratic Polynomials

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