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

Borislav Draganov

doi:10.24193/subbmath.2022.3.10

Authors

Borislav Draganov University of Sofia and Bulgarian Academy of Sciences

DOI:

https://doi.org/10.24193/subbmath.2022.3.10

Keywords:

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

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.

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