ABSTRACT
This chapter deals with the Bernstein theorems for the Fantappiè indicatrix and their applications to mathematical economics. It presents a proposition which is a consequence of the classical Bernstein theorem about polynomial approximations of real analytic functions. Very important unsolved problem is to find multidimensional analogies of the Padé approximations. The chapter make several remarks on this problem. It presents a model of pure industry producing homogeneous outputs and using several kinds of production factors of current use as a basis of technological description of mathematical economics. In order to introduce the notion of production capacities for more complicated systems of industries using intermediate products and (or) producing inhomogeneous products it is necessary to consider problems of aggregation.
