Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
We present a new fractional Taylor formula for singular functions whose Caputo fractional derivatives are of bounded variation. It bridges and “interpolates” the usual Taylor formulas with two consecutive integer orders. This enables us to obtain an analogous formula for the Legendre expansion coeff...
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| Main Authors: | , , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2022
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/160560 |
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| 機構: | Nanyang Technological University |
| 語言: | English |