A matrix application of power increasing sequences to infinite series and Fourier series

• Date: 2020
• Main Author: Yıldız, Şebnem
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6016
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 The aim of the paper is a generalization, under weaker conditions, of the main theorem on quasi-$\sigma$-power increasing sequences applied to $|A,\theta_{n}|_{k}$ summability factors of infinite series and Fourier series. We obtain some new and known results related to basic summability...