@Article{ATA-34-241,
author = {Medine Yeşilkayagil and Feyzi Başar},
title = {Domain of Euler Mean in the Space of Absolutely $p$-Summable Double Sequences with $0< p<1$},
journal = {Analysis in Theory and Applications},
year = {2018},
volume = {34},
number = {3},
pages = {241--252},
abstract = {<p style="text-align: justify;">In this study, as the domain of four dimensional Euler mean $E(r,s)$ of orders $r$, $s$ in the space $\mathcal{L}_p$ for $0&lt;p&lt;1$, we examine the double sequence space $\varepsilon^{r,s}_p$ and some
properties of four dimensional Euler mean. We determine the $α$- and $β(bp)$-duals of
the space $\varepsilon^{r,s}_p$, and characterize the classes $(\varepsilon^{r,s}_p:\mathcal{M}_u)$,&nbsp;$(\varepsilon^{r,s}_p:\mathcal{C}_{bp})$&nbsp;and $(\varepsilon^{r,s}_p:\mathcal{L}_q)$ of four
dimensional matrix transformations, where $1≤q&lt;∞$. Finally, we shortly emphasize on
the Euler spaces of single and double sequences, and note some further suggestions.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2017-0056},
url = {http://global-sci.org/intro/article_detail/ata/12839.html}
}