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arXiv · 1611.07907

Lacunary Arithmetic convergence

Taja Yaying·Bipan Hazarika
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Abstract

In this article we introduce and study the lacunary arithmetic convergent sequence space $AC_{\theta}$. Using the idea of strong Ces\`{a}ro summable sequence and arithmetic convergence we define $AC_{\sigma_1}$ and study the relations between $AC_{\theta}$ and $AC_{\sigma_1}$. Finally using modulus function we define $AC_{\theta}(f)$ and study some interesting results.

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Taja Yaying, Bipan Hazarika. 2016-11-20. Lacunary Arithmetic convergence. https://arxiv.org/abs/1611.07907

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