Some new Cesàro sequence spaces of order $\alpha$

• Date: 2024
• Main Authors: Savaşcı, Medine Yeşilkayagil, Başar, Feyzi
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7333
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.98 We introduce the spaces $\ell_\infty(C_\alpha),$ $f(C_\alpha),$ and $f_0(C_\alpha)$ of Ces\`{a}ro bounded, Ces\`{a}ro almost convergent, and Ces\`{a}ro almost null sequences of order $\alpha,$ respectively. Moreover, we establish some inclusion relations for these spaces and determine the...