Establishment of a new inequality using extended Heinz type mean G Narasimhan, K M Nagaraja, R Sampath Kumar, K Murali Journal of Physics Conference Series, 2018 In this paper, the Extended Heinz type function is introduced, and it is proved that the function F[E](a, b;v) is a mean. Further investigated the various properties of mean such as symmetricity, homogeneity, monotonicity and convexity. As an application, some inequalities have been established.