On necessary and sufficient conditions for the summability of a numerical series to imply its convergence

• Дата: 1995
• Автори: Davydov, N. A., Давыдов, Н. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5467
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

On the basis of the concepts of (C) -point and (¯R, p)-point of a sequence of complex numbers introduced by the author and results established earlier, we formulate necessary and sufficient conditions for the summability of a number series by a positive Cesaro method or the Riesz method to imply the...