Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation

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...

Full description

Bibliographic Details
Main Authors: Liu, Wenjie, Wang, Li-Lian, Wu, Boying
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2022
Subjects:
Science::Mathematics
Optimal Estimates
Fractional Taylor Formula
Online Access:https://hdl.handle.net/10356/160560

Internet

https://hdl.handle.net/10356/160560

Similar Items