Singular monotone functions, which are determined by convergent series and double stochastic matrix

• Date: 2020
• Author Affiliations: V.P. Markitan
• Keywords: keywords
• Main Authors: Markitan, V.P., Маркитан, В.П., Маркітан, В.П.
• Format: Article
• Language: Ukrainian; English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/398
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The paper considers functions, which are defined by $$F(x)=\overline{\Delta}_{a_1(x)a_2(x)\ldots a_n(x)\ldots}^2={\Delta}_{a_1(x)a_2(x)\ldots a_n(x)\ldots}=y,$$where $\overline{\Delta}_{a_1a_2\ldots a_n\ldots}^2=\frac{2}{3}+\frac{\alpha_1}{(-2)^1}+\frac{\alpha_2}{(-2)^2}+\frac{\alpha_3}{(-2)^3}+\ldo...