(∆mv ,f)-lacunary statistical convergence of order α

• Verma, Arvind ^[1] ; Singh, Lav Kumar
  1. [1] Dr. Harisingh Gour Central University
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 4, 2022, págs. 791-804
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4757
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• Resumen

  • 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.

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