Generalized difference sequence spaces of fractional order defined by Orlicz functions
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Date
2020-06-30
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Ankara Üniversitesi Fen Fakültesi
Abstract
The main purpose of this paper is to introduce the concepts of Δ^{α}-lacunary statistical convergence of order β (0<β≤1) with the fractional order of α and Δ^{α}-lacunary strongly convergence of order β (0<β≤1) with the fractional order of α. We establish some connections between Δ^{α}-lacunary strongly convergence of order β and Δ^{α}-lacunary statistical convergence of order β.
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Keywords
Difference sequence, Statistical convergence, Lacunary sequence