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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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.

.

.

.

∞

0