Necessary and sufficient conditions for the Bernstein inequality.
Kim, Kiwon (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Necessary and sufficient conditions for the Bernstein inequality.
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MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[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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