Strong inequalities for the iterated Boolean sums of Bernstein operators
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.
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.
Keywords
approximation rate, Bernstein operator, Boolean sum,
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PDFDOI: http://dx.doi.org/10.24193/subbmath.2019.3.01
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