In a paper of Heier and Wong, It is written  that from a pointwise argument due to Berger does follow  that the scalar curvature (and thus also the total scalar curvature) of a Kaehler metric of positive holomorphic sectional curvature is also positive.
I am looking for the paper of Berger ("Sur les varietέs d'Einstein compactes, C.R. IIIe Reunion Math. Expression latine, Namur (1965) 35-55") to which Heier is referring, but I don't have access to Berger's paper so I ask here to see if this can be proved very quickly or has been written in somewhere else.