Summary
We obtain preservation inequalities for Lipschitz constants of higher order in simultaneous approximation processes by Bernstein type operators. From such inequalities we derive the preservation of the corresponding Lipschitz spaces.
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López-Moreno, A. Preservation of Lipschitz constants by Bernstein type operators. Acta Math Hung 106, 343–354 (2005). https://doi.org/10.1007/s10474-005-0024-2
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DOI: https://doi.org/10.1007/s10474-005-0024-2