Multiple Fourier sums and ψ-strong means of their deviations on the classes of ψ-differentiable functions of many variables

  • R. A. Lasuriya Абхаз. ун-т, Сухум
  • O. I. Stepanets

Abstract

We present results concerning the approximation of ψ-differentiable functions of many variables by rectangular Fourier sums in uniform and integral metrics and establish estimates for φ-strong means of their deviations in terms of the best approximations.
Published
25.08.2007
How to Cite
LasuriyaR. A., and StepanetsO. I. “Multiple Fourier Sums and ψ-Strong Means of Their Deviations on the Classes of ψ-Differentiable Functions of Many Variables”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 8, Aug. 2007, pp. 1075–1093, https://umj.imath.kiev.ua/index.php/umj/article/view/3371.
Section
Research articles