Strong inequalities for the iterated Boolean sums of Bernstein operators

Authors

  • Li Cheng
  • Xinlong Zhou

DOI:

https://doi.org/10.24193/subbmath.2019.3.01

Keywords:

approximation rate, Bernstein operator, Boolean sum,

Abstract

In this paper we investigate   the approximation properties for the iterated Boolean sums of Bernstein operators.
 The approximation behaviour of those operators is presented by the so-called strong inequalities.  Moreover, such strong inequalities
are valid for any individual continuous  function on $[0, 1]$. The obtained estimate covers global direct, inverse and   saturation results.

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Published

2019-09-20

Issue

Section

Articles