The Musielak-Orlicz relations between some modular spaces (Q2752316)

Let\( A\) be a nonnegative four dimensional real matrix and let \( \psi\) be a \( \phi\)-function (a continuous non-decreasing function). In this paper the authors study two modular spaces connected with strong \((A, \psi)\)-summability and strong \( |A, \psi|\)-summability over the space of real double sequences. They prove two theorems that provide a generalization of some theorems of J. Musielak and W. Orlicz.