Absolute Cesàro Series Spaces and Matrix Operators
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DOI: 10.1007/s10440-017-0138-x
Abstract: In this paper we derive a series space $\vert C_{\lambda,\mu} \vert _{k}$ using the well known absolute Cesaro summability $\vert C_{\lambda,\mu} \vert _{k}$ of Das (Proc. Camb. Philol. Soc. 67:321–326, 1970), compute its $\beta$ -dual,… read more here.
Keywords: math soc; math; series; absolute ces ... See more keywords
Compact Matrix Operators on Absolute Cesàro Spaces
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DOI: 10.1080/01630563.2019.1633665
Abstract: Abstract More recently the absolute Cesàro space has been defined and some matrix operators on it have been studied by Sarıgöl. In this study, we have characterized the classes of infinite matrices where and and… read more here.
Keywords: compact matrix; matrix; operators absolute; absolute ces ... See more keywords
Generalization of the space l(p)$l(p)$ derived by absolute Euler summability and matrix operators
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DOI: 10.1186/s13660-018-1724-9
Abstract: The sequence space l(p)$l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p)$l(p)$ to the space |Eϕr|(p)$\vert E_{\phi… read more here.
Keywords: euler; space; summability; derived absolute ... See more keywords