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Cited article:

Exponential Sums and Correctly-Rounded Functions

Nicolas Brisebarre, Guillaume Hanrot and Olivier Robert
IEEE Transactions on Computers 66 (12) 2044 (2017)
https://doi.org/10.1109/TC.2017.2690850

About accuracy increase of fractional order derivative and integral computations by applying the Grünwald–Letnikov formula

Dariusz W. Brzeziński and Piotr Ostalczyk
Communications in Nonlinear Science and Numerical Simulation 40 151 (2016)
https://doi.org/10.1016/j.cnsns.2016.03.020