Unveiling Cesàro summability under neutrosophic 2-norms
Abstract
This paper introduces the concepts of Cesàro summability within the framework of neutrosophic 2-normed spaces (N2-NS). We establish that Cesàro summability does not necessarily imply ordinary convergence with regard to neutrosophic 2-norm, providing a concrete example to illustrate this distinction. In this connection, we prove necessary and sufficient condition for the sequences in N2-NS that their Cesàro summability guarantees ordinary convergence.
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