Global smoothness preservation and simultaneous approximation by multivariate discrete operators

Authors

  • George Anastassiou
  • Merve Kester

Abstract

In this article we study the multivariate generalized discrete singular operators defined on R N , N ≥ 1, regarding their simultaneus global smoothness preservation property with respect to Lp norm for 1 ≤ p ≤ ∞, by using higher order moduli of smoothness. Furthermore, we study their simultaneous approximation properties.

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Published

2016-09-21

Issue

Vol. 61 No. 3 (2016)

Section

Articles

License

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