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A refinement of Kolmogorov's inequality

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Publication date
1979
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Published by Elsevier Inc.
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    Abstract

    AbstractFor any n-times differentiable function f with uniform bounds on f and f(n), we study the pair of values (f(j)(t), f(j + 1)(t)) for an arbitrary real t and a prescribed j = 0,…, n − 1. A given value of f(j)(t) determines admissible values for f(j + 1)(t). These values are exactly determined in terms of the Euler spline En(t). Special differentiation formulas of cardinal interpolation type are developed to solve the problem

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    Last time updated on 06/05/2017

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