Kolmogorov problem on a class of multiple monotone functions

• Date: 2013
• Author Affiliations: — Днипровский национальный университетимени Олеся Гончара
• Keywords: keywords
• Main Authors: Kovalenko, O. V., Коваленко, О. В.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/160
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Necessary and sufficient conditions for positive numbers $M_{k_1}, M_{k_2}, M_{k_3}, M_{k_4}$, $0 = k_1 <k_2<k_3\leq r-2$, $k_4=r$, to guarantee the existence of an $r-1$-monotone function defined on the negative half-line and such that $\|x^{(k_i)}\| = M_{k_i}$, $i=1,2,3,4$ we...