Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems

Vladimir Tikhomirov; Alexsandr Kochurov

Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems

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Authors

Vladimir Tikhomirov
Alexsandr Kochurov

Keywords:

Kolmogorov-type inequalities, Lagrange principle, calculus of variations, optimization, convex analysis

Abstract

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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Published

2024-05-26

How to Cite

Tikhomirov, V., & Kochurov, A. (2024). Kolmogorov-type inequalities on the whole line or half line and the Lagrange principle in the theory of extremum problems. Eurasian Mathematical Journal, 2(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/95