Kolmogorov problem on classes of absolute monotone and multiple monotone functions and its connection with Markov moment problem

2015/03/23 by В. Ф. Бабенко, Babenko, Vladyslav, Yuliya Babenko +3
Engineering · Mathematics · #26D10 #41A17 #41A44 #47A30 #Aerospace Engineering and Control Systems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1503.06553

openalex publication_date 2015/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we solve Kolmogorov problem about existence of a function with given norms of derivatives for classes of multiple monotone functions and absolute monotone functions in the case of arbitrary number of norms. We also show the connection of Kolmogorov problem with Markov moment problem.

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