Abstract

In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function overn-normed spaces. We also study some topological properties and inclusion relation between these spaces.

Highlights

  • Throughout the paper ω, l∞, c, c0, and lp denote the classes of all, bounded, convergent, null, and p-absolutely summable sequences of complex numbers

  • We find out some relations related to these sequence spaces

  • Let I be an admissible ideal of N, M = (Mj) be a Musielak-Orlicz function, and (X, ‖⋅, . . . , ⋅‖) an n-normed space

Read more

Summary

Introduction

Throughout the paper ω, l∞, c, c0, and lp denote the classes of all, bounded, convergent, null, and p-absolutely summable sequences of complex numbers. Kızmaz [17] defined the difference sequence spaces l∞(Δ), c(Δ), and c0(Δ) as follows: Z(Δ) = {x = (xk) : (Δxk) ∈ Z}, for Z = l∞, c, and c0, where Introduced the following new type of difference sequence spaces. S be nonnegative integers, for Z a given sequence space we have

Objectives
Results
Conclusion

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.