A strong converse inequality for the iterated Boolean sums of the Bernstein operator

Borislav Draganov

Abstract


We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.

Keywords


Bernstein polynomials; Boolean sums; strong converse inequality; modulus of smoothness; K-functional

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2022.3.10

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