Characterizations of the equality of two-variable generalized quasiarithmetic means

This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001, which states that the intersection classes two-variable Gini means Stolarsky equal to class power means. The form two-parameter expressed terms functions. They can naturally be generalized so-called Bajraktarević Cauchy Our aim show these two functional means, under high-order differentiability assumptions, quasiarithmetic