Generalized difference sequence spaces of fractional order defined by Orlicz functions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
Generalized difference sequence spaces of fractional order defined by Orlicz functions

Generalized difference sequence spaces of fractional order defined by Orlicz functions

Authors : Nazlım Deniz ARAL, Mikail ET

Pages : 941-951

Doi:10.31801/cfsuasmas.628863

View : 29 | Download : 5

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :The main purpose of this paper is to introduce the concepts of Δ^{α}-lacunary statistical convergence of order β insert ignore into journalissuearticles values(0<β≤1); with the fractional order of α and Δ^{α}-lacunary strongly convergence of order β insert ignore into journalissuearticles values(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.
Keywords : Difference sequence, Statistical convergence, Lacunary sequence

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