article · Mathematics of Computation · 1966
A close approximation related to the error function
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Abstract
The quantity fi(p) Ti(p) must be nonnegative, for otherwise we could choose (xi pi) so small that (5) could not hold. (We note here fni(x) > 0 for x E D by hypothesis.) A similar consideration in the case where pi > xi shows that fi(p)Ti(p) < 0. Hence fi(p) = T1(p). In the same manner one can show that ft(p) = Ti(p), i = 2, *.. , n. Thus Q*(x) and T(x) are identical. The idea for this note occurred to the author after hearing a lecture by Prof. Ranko Bojanic [1] on best one sided approximation in the case of functions of one variable.
Cite this paper
Hart, R. G. (1966). A close approximation related to the error function. Mathematics of Computation, 20(96), 600–602. https://doi.org/10.1090/s0025-5718-1966-0203907-1
Hart, Roger G. “A close approximation related to the error function.” Mathematics of Computation, vol. 20, no. 96, 1966, pp. 600–02, https://doi.org/10.1090/s0025-5718-1966-0203907-1.
Hart, Roger G. 1966. “A close approximation related to the error function.” Mathematics of Computation 20 (96): 600–02. https://doi.org/10.1090/s0025-5718-1966-0203907-1.
Hart, R.G. (1966) ‘A close approximation related to the error function’, Mathematics of Computation, 20(96), pp. 600–602. Available at: https://doi.org/10.1090/s0025-5718-1966-0203907-1.
@article{hart1966close,
title = {{A close approximation related to the error function}},
author = {Hart, Roger G.},
journal = {Mathematics of Computation},
volume = {20},
number = {96},
pages = {600--602},
year = {1966},
doi = {10.1090/s0025-5718-1966-0203907-1}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.