International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 9, Pages 565-569
doi:10.1155/S0161171201005178
A Gauss type functional equation
Silvia Toader1
, Themistocles M. Rassias2
and Gheorghe Toader1
1Department of Mathematics, Technical University, Cluj RO-3400, Romania
2Department of Mathematics, National Technical University, Athens 15780, Greece
Abstract
Gauss' functional equation (used in the study of the arithmetic-geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.