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Mathematics of Computation

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A mean value theorem for linear functionals


Author: D. Meek
Journal: Math. Comp. 35 (1980), 797-802
MSC: Primary 41A58; Secondary 65G99
DOI: https://doi.org/10.1090/S0025-5718-1980-0572857-0
MathSciNet review: 572857
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Abstract: When working out the errors in discretization formulas, one usually hopes to obtain a mean value type of error. This occurs if the associated Peano kernel is a function which does not change sign. In this paper an expansion is developed which will express any error in mean value form, even when the associated Peano kernel is a function which changes sign.


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DOI: https://doi.org/10.1090/S0025-5718-1980-0572857-0
Article copyright: © Copyright 1980 American Mathematical Society