A Property of Quadratic Polynomials
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Publication:4201213
DOI10.2307/2320589zbMath0413.39003OpenAlexW4243329408MaRDI QIDQ4201213
Publication date: 1979
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2320589
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) General theory of functional-differential equations (34K05) Real polynomials: analytic properties, etc. (26C05) Functional equations and inequalities (39B99)
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Characterizations of polynomials with mean value properties ⋮ Functional equations and the Cauchy mean value theorem ⋮ A functional identity characterizing polynomials ⋮ On a problem of T. Szostok concerning the Hermite-Hadamard inequalities ⋮ A fixed point approach to the stability of a mean value type functional equation ⋮ Characterization of polynomials and divided difference ⋮ Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ On a class of equations stemming from various quadrature rules ⋮ Approximation properties of solutions of a mean value type functional inequalities ⋮ On a functional equation associated with Simpson's rule ⋮ A note on functional equations connected with the Cauchy mean value theorem ⋮ Characterizations of Quadratic Polynomials ⋮ On a functional equation related to two-variable Cauchy means ⋮ On two mean value properties and functional equations associated with them ⋮ On a new class of functional equations satisfied by polynomial functions ⋮ Functional equations stemming from numerical analysis ⋮ On a functional equation connected to Hermite quadrature rule ⋮ A different version of Flett's mean value theorem and an associated functional equation ⋮ On the characterization of polynomials and rational functions using divided differences
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