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arXiv · 1410.3502

On the Constant in The Lower Estimate for the Bernstein Operator

Sorin Gal·Gancho Tachev
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Abstract

For functions belonging to the classes $C^{2}[0, 1]$ and $C^{3}[0, 1]$, we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.

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Sorin Gal, Gancho Tachev. 2014-10-13. On the Constant in The Lower Estimate for the Bernstein Operator. https://arxiv.org/abs/1410.3502

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