Resumen de Relative modular uniform approximation by means of the power series method with applications

Kuldip Raj, Anu Choudhary

• We introduce the notion of relative convergence by means of a four dimensional matrix in the sense of the power series method, which includes Abel's as well as Borel's methods, to prove a Korovkin type approximation theorem by using the test functions {1,y,z,y2+z2} and a double sequence of positive linear operators defined on modular spaces. We also endeavor to examine some applications related to this new type of approximation.