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On the Constants in Videnskiĭ Type Inequalities for Bernstein Operators

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This paper deals with the approximation of functions by Bernstein operators. Specifically, the interest is mainly focused on the constants in Videnskiĭ type inequalities, which turn out to be quantitative… Click to show full abstract

This paper deals with the approximation of functions by Bernstein operators. Specifically, the interest is mainly focused on the constants in Videnskiĭ type inequalities, which turn out to be quantitative versions of the well known Voronovskaja formula. The central moments of the even orders 6 and 8 play a key role. New upper bounds for them are proved.

Keywords: bernstein operators; videnski type; inequalities bernstein; constants videnski; type inequalities

Journal Title: Results in Mathematics
Year Published: 2017

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