Approximation of functions defined on the real axis by operators generated by ?-methods of summation of their Fourier integrals.

We obtain asymptotic equalities for upper bounds of the deviations of operators generated by ?-methods (defined by a collection ?={?s(·)} of functions continuous on [0; 8) and depending on a real parameter s) on classes of (?, ß)-differentiable functions defined on the real axis. [ABSTRACT FROM AUTHOR]