2017
Том 69
№ 9

All Issues

Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment

Babenko Yu. V.

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Abstract

For arbitrary t ∈ [0, 1], s ∈ [1, ∞], and A ≥ 2, we determine the unimprovable constant B for the inequality $$\left| {x\prime \left( t \right)} \right| \leqslant A\left\| x \right\|_{L_\infty \left[ {0,1} \right]} + B\left\| {x} \right\|_{L_s \left[ {0,1} \right]} .$$ .

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 270-275.

Citation Example: Babenko Yu. V. Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 238-243.

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