| CERTAIN GENERALIZED LIMITS DEFINED BY IDEALS AND $\boldsymbol\sigma$-MEAN IN GRADUAL NORMED SPACES |
| A. Sharma, V. Kumar |
Abstract The purpose of this communication is to define and illustrate the notions of $\mathcal{J}(S_\sigma: \mathcal{G})$-summable, $\mathcal{J}(S_\sigma: \vartheta: \mathcal{G})$-summable and $\mathcal{J}(N_\sigma: \vartheta: \mathcal{G})$-summable sequences in gradual normed linear spaces (briefly abbreviated as $GNLP$) and to demonstrate some connections between their corresponding sequence spaces.
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Keywords: Statistical convergence; $\sigma$-mean; $\mathcal{J}-$convergence; linear spaces of gradual norm. |
MSC: 40A35, 40A05, 03E72 |
DOI: 10.57016/MV-VL51oo16 |
Pages: 1--8 |
