Aral, Nazlım DenizEt, Mikail2021-11-122021-11-122020-06-30https://doi.org/10.31801/cfsuasmas.628863http://hdl.handle.net/20.500.12575/76043The 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.enDifference sequenceStatistical convergenceLacunary sequenceArticle6919419512618-6470