Strong inequalities for the iterated Boolean sums of Bernstein operators
Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.
DOI:
https://doi.org/10.24193/subbmath.2019.3.01Keywords:
Approximation rate, Bernstein operator, Boolean sum, strong inequality.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.
Mathematics Subject Classification (2010): 41A05, 41A25, 41A40.
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