Some functional equations characterizing polynomials
نویسندگان
چکیده
منابع مشابه
Some Logarithmic Functional Equations
The functional equation f(y − x) − g(xy) = h (1/x− 1/y) is solved for general solution. The result is then applied to show that the three functional equations f(xy) = f(x)+f(y), f(y−x)−f(xy) = f(1/x−1/y) and f(y−x)−f(x)−f(y) = f(1/x−1/y) are equivalent. Finally, twice differentiable solution functions of the functional equation f(y − x) − g1(x) − g2(y) = h (1/x− 1/y) are determined.
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ژورنال
عنوان ژورنال: Tatra Mountains Mathematical Publications
سال: 2009
ISSN: 1210-3195
DOI: 10.2478/v10127-009-0045-2