A functional identity characterizing polynomials

DOI10.1007/BF01830666zbMath0633.39005OpenAlexW1982696997MaRDI QIDQ1096096

George Cross, Palaniappan Kannappan

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137234

zbMATH Keywords

Peano derivativecharacterization of polynomials by functional equations

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional inequalities, including subadditivity, convexity, etc. (39B62) Real polynomials: analytic properties, etc. (26C05)

Related Items (3)

Characterization of polynomials and divided difference ⋮ Some extensions of the Levi-Civitá functional equation and richly periodic spaces of functions ⋮ On the characterization of polynomials and rational functions using divided differences

Cites Work

• Unnamed Item
• A Property of Quadratic Polynomials
• A Riemann-Type Integral of Lebesgue Power
• The Exact Peano Derivative

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