Publication Type : Journal Article
Publisher : Universidad Catolica del Norte - Chile
Source : Proyecciones (Antofagasta)
Url : https://doi.org/10.22199/issn.0717-6279-4757
Campus : Haridwar
School : School of Engineering
Department : Mathematics
Year : 2022
Abstract : In this paper, we define the space Sαθ (∆mv, f) of all (∆mv, f)-lacunary statistical convergent sequences of order α with the help of unbounded modulus function f, lacunary sequence (θ), generalized difference operator ∆ mv and real number α ∈ (0, 1]. We also introduce the space ωαθ (∆mv, f) of all strong (∆mv, f)-lacunary summable sequences of order α. Properties related to these spaces are studied. Inclusion relations between spaces Sαθ (∆mv, f) and ωα θ (∆mv, f) are established under certain conditions.
Cite this Research Publication : Arvind Verma, Lav Kumar Singh, (∆mv ,f)-lacunary statistical convergence of order α, Proyecciones (Antofagasta), Universidad Catolica del Norte - Chile, 2022, https://doi.org/10.22199/issn.0717-6279-4757