Geodesic
Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems
Eurasian mathematical journal, Tome 2 (2011) no. 3, pp. 125-142

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The paper is devoted to solving extremal problems related to Kolmogorov-type inequalities. All solutions are obtained with the help of the so-called Lagrange principle, which is a generalization of the Lagrange multiplier rule. 
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     author = {V. Tikhomirov and A. Kochurov},
     title = {Kolmogorov-type inequalities on the whole line or half line and the {Lagrange} principle in the theory of extremum problems},
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V. Tikhomirov; A. Kochurov. Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems. Eurasian mathematical journal, Tome 2 (2011) no. 3, pp. 125-142. http://geodesic.mathdoc.fr/item/EMJ_2011_2_3_a7/