Generalized difference sequence spaces of fractional order defined by Orlicz functions

Year 2020, Volume: 69 Issue: 1, 941 - 951, 30.06.2020

Nazlım Deniz Aral , Mikail Et

https://doi.org/10.31801/cfsuasmas.628863

Cited By: 10

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.

Keywords

Difference sequence, Statistical convergence, Lacunary sequence

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