The paper [11] raised the question of describing cardinality and types approximations for natural families theories. In present paper, a partial answer to this is given, study approximation topological properties classes theories also continued. We consider cycle graph consisting one or, in other words, certain number vertices (at least 3 if simple) connected into closed chain. It shown that an...

Degenerate kernel approximation method is generalized to solve Hammerstein system of Fredholm integral equations of the second kind. This method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. Convergence analysis is investigated and on some test problems, the propo...