About one method of interpolation of mortality tables for fractional ages

The article investigates a new method of nonlinear interpolation of mortality tables for fractional ages. Since most methods of interpolation of mortality tables have a convexity of the function down or do not have them, we will consider an interpolation having a convexity up. Formulas will be derived to determine the intensity of mortality for fractional ages. We will also consider several examples using this interpolation method to solve the problems of mortality tables and its application in insurance problems.