On multivariate projection operators

  • Authors:

  • L. Szili;P. Vértesi

  • Affiliations:

  • Department of Numerical Analysis, Loránd Eötvös University, Budapest, Pázmány P. sétány 1/C, H-1117, Hungary;Rényi Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Reáltanoda u. 13-15, H-1053, Hungary

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2009

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Abstract

This paper deals with multivariate Fourier series considering triangular type partial sums. Among others we give the exact order of the corresponding operator norm. Moreover, a generalization of the so-called Faber-Marcinkiewicz-Berman theorem has been proved.