Bernstein-type constants for approximation of |x|α by partial Fourier–Legendre and Fourier–Chebyshev sums
In this paper, we study the approximation of fα(x)=|x|α,α>0 in L∞[−1,1] by its Fourier–Legendre partial sum Sn(α)(x). We derive the upper and lower bounds of the approximation error in the L∞-norm that are valid uniformly for all n≥n0 for some n0≥1. Such an optimal L∞-estimate requires a judiciou...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
2023
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| 在線閱讀: | https://hdl.handle.net/10356/169935 |
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