On Aλ-almost null and Aλ-almost convergent paranormed Orlicz sequence spaces. Issue 1 (1st May 2022)

• Record Type: Journal Article
• Authors: Singh, Sukhdev; Malik, Toseef Ahmed
• Is Part Of: Journal of physics. Volume 2267:Issue 1(2022)
• Publication Date: 2022-05-01
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/2267/1/012080
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: The idea of almost convergent sequence was introduced by G. G. Lorentz [5]. In this paper, some new generalized sequence spaces on Aλ -almost null & Aλ -almost convergent sequences by Orlicz function are introduced and extended them to the paranormed sequence spaces. Some inclusion relation has also been established between the new spaces. In addition, the α -, β - and γ -duals of these spaces, and the characterization of ( Aλ ( f )(Δ, M, q ) : υ ) & ( υ : Aλ ( f )(Δ, M, q )) of infinite matrices are also given.