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

  • T. V. Zhyhallo
  • Yu. I. Kharkevych


We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ-methods (defined by a collection Λ={λσ(·)} of functions continuous on [0; ∞) and depending on a real parameter σ) on classes of (ψ, β)-differentiable functions defined on the real axis.
How to Cite
Zhyhallo, T. V., and Y. I. Kharkevych. “Approximation of Functions Defined on the Real Axis by Operators Generated by λ-Methods of Summation of Their Fourier Integrals”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 9, Sept. 2004, pp. 1267-80,
Research articles