A strong converse inequality for the iterated Boolean sums of the Bernstein operator
DOI:
https://doi.org/10.24193/subbmath.2022.3.10Keywords:
Bernstein polynomials, Boolean sums, strong converse inequality, mod- ulus 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.
Mathematics Subject Classification (2010): 41A10, 41A17, 41A25, 41A27, 41A35, 41A40.
Received 13 November 2019; Accepted 18 February 2020.
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