Аннотация:The NSVZ scheme is constructed in all orders for the renormalization group functions defined in terms of the renormalized coupling constant for Abelian N=1 supersymmetric theories regularized by higher derivatives. For the other renormalization prescriptions the scheme-independent consequences of the NSVZ relation are investigated. It is explained, why for the renormalization group functions defined in terms of the bare coupling constant the NSVZ relation is valid for all renormalization prescriptions in the case of using the higher derivative regularization.