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19 The authors demonstrated an error of formula for estimating the PFM in terms of constant coefficient of age compared with measured body fat by BIA in Figures 3 and 4. The overall difference was comparable in the younger and middle-aged groups, but the graph began to diverge at 50 years of age, with the difference increasing as age increased.
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These approaches mainly consider computational efficiency because, ideally, to estimate the error of a formula of degree d1, we need to compute a better approximation of degree d2 > d1.
To this end, cooperated with the concept of the extended F-discrepancy (EF-discrepancy), the Koksma Hlawka inequality, which bounds the worst error of cubature formulae, is extended to the cases involving non-uniform distributions in the present paper.
The coefficients and truncation errors of this formula are discussed in detail.
The average error of the fitting formula for all experimental data is 10.7%.
The kernels of its forward and inverse problems show that the inversion should be done in a larger area by 5° than the desired one to reduce the effect of the spatial truncation error of the integral formula.
As a matter of principle, different levels of accuracy can be achieved in calibrating such an expression, depending on the number of parameters considered in its calibration: the higher the number of such parameters, the lower the expected residual error of the resulting formula.
Alikhanov analyzed the error of the (L2-1_{sigma}) formula to approximate the Caputo fractional derivative, and got the following lemma.
Also in this subsection, special attention is given to study the convergence analysis and evaluating the upper bound of the error of the proposed formula.
The kernels of its forward and inverse problems showed that the inversion should be performed in an area larger by 5° than the desired one to reduce the effect of the spatial truncation error of the integral formula.
Here, a larger area by 5° is considered for the recovery which is required to reduce the effect of the truncation error of the integral formula in the inversion method (Eq. (4)) but the results of the central part are selected.
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