Nonlinear integral operators in modular Lipschitz classes: rates of modular approximation

The theory of approximation with families of nonlinear integral operators in modular func­ tion spaces was introduced by J. Musielak [26], [28], [29], [30], [31], [32] and then ex­ tensively developed by Musielak himself and several authors [3], [4], [5], [6], [7], [8], [9], [11], [12], [13], [23], [24], [25], [33], [36], [37].