On a generalization of the system of functions of Rademacher and Walsh

• Дата: 2017
• Автори: Pratsevity, M. V., Maslova, Yu. P., Працевитый, М. В., Маслова, Ю. П., Працьовитий, М. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/49
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper, we propose generalizations of the Rademacher and Walsh functions. They are based on $????_2$-representation of real numbers generalizing classic binary representation of numbers $????\in[0;1]$. We study integral properties of these functions. In particular, we prove that generalized Ra...