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STUDIA MATHEMATICA - Issue no. 3 / 2019 | |||||||
Article: |
STRONG INEQUALITIES FOR THE ITERATED BOOLEAN SUMS OF BERNSTEIN OPERATORS. Authors: LI CHENG, XINLONG ZHOU. |
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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. Keywords: Approximation rate, Bernstein operator, Boolean sum, strong inequality.
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