Weighted statistical convergence of order a and its applications | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 24, Issue 1, 2016, Page 60-67 PDF (490.61 K) | ||||
| DOI: 10.1016/j.joems.2014.08.006 | ||||
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| Author | ||||
| Sanjoy Ghosal | ||||
| Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia 741235, West Bengal, India | ||||
| Abstract | ||||
| The definition of weighted statistical convergence was first introduced by Karakaya and Chishti (2009) [1]. After that the definition was modified by Mursaleen et al. (2012) [2]. But some problems are still there; so it will be further modified in this paper. Using it some newly developed definitions of the convergence of a sequence of random variables in probability have been introduced and their interrelations also have been investigated, and in this way a partial answer to an open problem posed by Das and Savas (2014) [3] has been given. | ||||
| Keywords | ||||
| Weighted statistical convergence; Strong ðN; tnÞ-summable; Weighted modulus statistical convergence of order a; Weighted modulus strong cesa` ro convergence of order a | ||||
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