Optimal Constant in Approximation by Bernstein Operators |
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| Authors: | Radu Păltănea |
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| Affiliation: | (1) Department of Mathematics, Transylvania University, Str. Eroilor, nr. 29, Bra!["scedil"]("/content/n442058g653k01w0/xlarge351.gif") ov-2200, Romania |
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| Abstract: | We obtained that for any n  N, C = 1 is the smallest constant for which the inequality ||Bn(f) - f||  C   2(f, 1/ n) holds on the class of continuous functions f, as well as on the class of bounded functions f, where Bn is the Bernstein operators of degree n, 2 is the second order modulus and || || is the sup-norm. |
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| Keywords: | Second order modulus Bernstein operators |
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