Strongly Cesaro type quasi-Cauchy sequences
| Autor: | Cakalli, Huseyin |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper we call a real-valued function $N_{\theta}$-ward continuous if it preserves $N_{\theta}$-quasi-Cauchy sequences where a sequence $\boldsymbol{\alpha}=(\alpha_{k})$ is defined to be $N_{\theta}$-quasi-Cauchy when the sequence $\Delta \boldsymbol{\alpha}$ is in $N^{0}_{\theta}$. We prove not only inclusion and compactness type theorems, but also continuity type theorems. Comment: 20 pages |
| Databáze: | arXiv |
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