Modular convergence in generalized orlicz spaces for moment type operators

摘要

In this paper we consider a sequence of integral operators of the formwhere x is belongs to a generalized Orlicz space generated by the modularHere, #x3D5;-function with some suitable properties. The main object is a modular approximation of x by means of the sequence {Tnx}, i.e.So, some well-known results in the theory of moment type operators is generalized