Abstract
This paper is concerned with the strongly continuous semigroup \( (T(t))_{t\ge 0} \) of operators on C[0, 1] which can be represented as a limit of suitable iterates of the Bernstein operators \( B_{n} \). We present some new smoothness and shape preserving properties of the operators T(t) and \( B_{n} \). The asymptotic behavior and simultaneous approximation results are also presented.
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17 August 2018
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Hodiş, S., Mesaroş, L. & Raşa, I. Smoothness and Shape Preserving Properties of Bernstein Semigroup. Mediterr. J. Math. 15, 96 (2018). https://doi.org/10.1007/s00009-018-1146-4
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DOI: https://doi.org/10.1007/s00009-018-1146-4