the film cooling holes 17 in the region of the leading blade edge v this is represented in fig4 which shows the leading blade edge v on a larger scale inserted into the material of the blade 11 is a platelet 51 which covers the film cooling holes 17 as can be seen in fig5 the platelet 51 is perforated in this case the arrangement of the boreholes 57 corresponds to that of the film cooling holes 17 in the blade by displacing the platelet 51 in relation to the blade 11 the holes 57 coincide fully or partially with the film cooling holes 17 whereby different cross sections are cleared for the flowing away of the cooling air out of the hollow space 21 consequently variable restriction of the cooling air path is in turn realized and the possibility of changing the amount of cooling air is provided the production of a blade with restrictable film cooling holes expediently takes place by eroding a thin slit into the blade before the film cooling holes have been made in this blade the platelet is inserted in a displaceable manner with little play into this slit the film cooling holes are then made in the blade and the platelet is introduced in one operation controlling the material temperature of the cooled components can be realized by means of the variable cooling air supply if the said components are equipped as represented in fig1 and fig3 with thermocouples 18 or other devices for temperature measurement if the temperature measured u2014 in this example at the leading blade edge u2014 exceeds a.