The approximations for degenerate c 0-semigroup

The results from the theory of Sobolev type equations have been actively used to measure the dynamically distorted signals recently. The formulas obtained for relatively p-radial case of Sobolev type equations are used for the numerical solution of such problems. Hille-Widder-Post approximations for the operators of strongly continuous resolving semigroup for homogeneous equations are considered in the article. The authors show that a simpler formula can be used as approximations of operators of a resolving semigroup. The article consists of introduction and two parts. The information regarding the relative resolutions and theories of relatively p-radial operators are given in the first part. The approximation formulas are covered in the second part.