Resumen de A pair of functional inequalities characterizing polynomials and Bernoulli numbers

Dorota Krassowska, Tomasz Malolepszy, Janusz Matkowski

• We show that if a function continuous at least at one point satisfies the pair of functional inequalities and the constants a, b, a i , ß i (i = 0, 1,�, k) fulfil some general algebraic conditions, then f must be a polynomial. An explicit formula for the solution, involving Bernoulli numbers, is given.