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Table 1 Degree of convergence of \(f(t)=t^{3}\)

From: Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications

ν \(T_{\nu}(t)=\frac{1}{(\nu +1)^{3}}+\frac{1}{(\nu +1)} [\pi -\frac{1}{(\nu +1)} ]\)
100 0.031105
1000 0.003139
10,000 0.00031413
50,000 0.00006283
75,000 0.00004189
100,000 0.00003142
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