通过延迟 Ces`aro 平均值的马丁格尔序列的某些统计收敛标准及其一些应用

Hemen Dutta, B. Jena, N. Pahari, S. K. Paikray
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引用次数: 0

摘要

在本文中,我们通过递延塞萨罗均值调查并研究了马氏序列统计收敛标准的各种新概念。然后,我们建立了有关这些美丽且潜在有用的概念之间关系的若干结果。此外,我们提出的技术还有助于发现完整规范线性空间上马丁格尔序列的几个新的柯罗夫金型近似结果。我们还列举了一些具体实例,以证明我们的结果具有更强的一面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Certain Statistical Convergence Criteria for Martingale Sequences via Deferred Ces`aro Mean with Some Applications
In this paper, we investigate and study various new notions of statistical convergence criteria of martingale sequences via deferred Ces`aro mean. We then establish several results concerning the relation among these beautiful and potentially useful concepts. Moreover, our proposed techniques contributed to finding several new approximation results of the Korovkin-type for martingale sequences over complete normed linear spaces. We also present some concrete examples to establish the stronger side of our results.
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