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λ (Δim)-Statistical Convergence of Order α.
- Source :
- AIP Conference Proceedings; 2017, Vol. 1880 Issue 1, p1-7, 7p
- Publication Year :
- 2017
-
Abstract
- In this study, using the generalized difference operator Δ<superscript>m</superscript><subscript>i</subscript> and a sequence λ = (λ<subscript>n</subscript>) which is a non-decreasing sequence of positive numbers tending to 8 such that λ<subscript>n+1</subscript> = λ<subscript>n</subscript> + 1, λ<subscript>1</subscript> = 1, we introduce the concepts of λ(Δ<superscript>m</superscript><subscript>i</subscript>) -statistical convergence of order α (α Є (0,1]) and strong λ (Δ<superscript>m</superscript><subscript>i</subscript>) -Cesaro summablility of order α (α > 0). We establish some connections between λ (Δ<subscript>i</subscript><superscript>m</superscript>) -statistical convergence of order a and strong λ (Δ<superscript>m</superscript><subscript>i</subscript>) - Cesaro summablility of order a. It is shown that if a sequence is strongly λ (Δ<superscript>m</superscript><subscript>i</subscript>) -Cesaro summable of order a, then it is λ (Δ<subscript>i</subscript><superscript>m</superscript>) - statistically convergent of order i in case 0 < α ≤ β ≤ 1. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1880
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 125114132
- Full Text :
- https://doi.org/10.1063/1.5000612