A note on differences of Power means
Integration by parts results concerning Stieltjes integrals for functions with values in Banach spaces are presented. The background of the theory is the Kurzweil approach to integration based on Riemann type integral sums, which leads to the Perron integral.
Let and be polynomials in one variable with complex coefficients and let be a natural number. Suppose that is not constant and has only simple roots. Then there is a rational function with if and only if the Wronskian of the functions is divisible by .