STABILITY OF PYTHAGOREAN MEAN FUNCTIONAL EQUATION

In this paper, authors introduce a new Pythagorean mean functional equation which relates the three classical Pythagorean mean and investigate its generalized Hyers-Ulam stability. Also, Motivated by the work of Roman Ger, we deal with the general solution of Pythagorean means functional equation. We also provide counter-examples for singular cases. Very specially in this paper we illustrate the geometrical interpretation and application of new introduced Pythagorean mean functional equation.