Abstract
The ratio of the arithmetic mean and root-mean-square deviations of the surface profile, Ra/Rq ≤ 1, has been estimated on the basis of the Holder inequality. The exact upper limit can be reached on a set of continuous functions for an absolutely smooth surface. This can also be done on a set of functions with a first-order discontinuity for a set of step functions. The lower limit of that ratio is found to be zero. A method of estimating the ratio Ra/Rq is presented.
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