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Table 1 The values of the maximum deviations and Lebesgue constants for sets \(\pmb{\breve{T} }\) , \(\pmb{\hat{T} }\) , and \(\pmb{X^{*}}\)

From: Lebesgue functions and Lebesgue constants in polynomial interpolation

n set \(\boldsymbol {\breve{T}}\) set \(\boldsymbol {\hat{T}}\) set \(\boldsymbol {X^{*}}\)
\(\boldsymbol {\delta _{n} (\breve{T})}\) \(\boldsymbol {\Lambda _{n} (\breve{T})}\) \(\boldsymbol {\delta _{n} (\hat{T})}\) \(\boldsymbol {\Lambda _{n} (\hat{T})}\) \(\boldsymbol {\Lambda _{n} (X^{*} )}\)
10 0.050 781 2.056 087 0.019 471 2.068 744 2.051 706
20 0.056 995 2.463 129 0.019 340 2.479 193 2.460 788
40 0.061 827 2.887 067 0.018 952 2.904 441 2.885 809