Combinations of multivariate averages

  • Authors:

  • F. Dai;Z. Ditzian

  • Affiliations:

  • Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1;Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2004

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Abstract

Rate of approximation of combinations of averages on the spheres is shown to be equivalent to K-functionals yielding higher degree of smoothness. Results relating combinations of averages on rims of caps of spheres are also achieved.