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Lacunary statistical
convergence
John Albert Fridy and Cihan Orhan |
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Vol. 160 (1993), No. 1, 43–51
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Abstract |
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The sequence x is statistically convergent to L provided that for each 𝜀 > 0,
In this paper we study a related concept of convergence in which the set {k : k ≤ n} is replaced by {k : kr−1 < k ≤ kr}, for some lacunary sequence {kr}. The resulting summability method is compared to statistical convergence and other summability methods, and questions of uniqueness of the limit value are considered. |
Mathematical Subject Classification 2000
Primary: 40G99
Secondary: 40F05
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Milestones
Received: 11 November 1990
Revised: 16 March 1992
Published: 1 September 1993
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Authors |
| John Albert Fridy | |
| Cihan Orhan | |
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