Absolute │A; δ │<sub>k</sub> and │A; γ; δ│<sub>k</sub> Summability for n-tupled Triangle Matrices

Authors

  • Smita Sonker National Institute of Technology Kurukshetra, Kurukshetra-136119, India
  • Alka Munjal Akal University, Talwandi Sabo-151302, Bathinda, India
  • Lakshmi Narayan Mishra School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore-632014, Tamil Nadu, India

DOI:

https://doi.org/10.3126/jnms.v3i2.33957

Keywords:

Absolute Summability, Boundness of Matrix, Infinite Series, Sequence Space

Abstract

In this study, new sequence spaces (Ak; δ) & (Ak; γ; δ) have been introduced to establish two theorems on minimal set of the sufficient conditions for a n-tupled triangle T to be a bounded operator on sequence spaces (Ank ; δ) & (Ank ; γ; δ): Generalized summability method │A; δ │k & │A; γ; δ│k have been applied for determining the sufficient conditions, where k ≥ 1; δ ≥ 0 and γ is real number. Further, a set of new and well-known applications has been deduced from the main result under suitable conditions, which shows the importance of the main result.

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Author Biographies

Smita Sonker, National Institute of Technology Kurukshetra, Kurukshetra-136119, India

Department of Mathematics

Alka Munjal, Akal University, Talwandi Sabo-151302, Bathinda, India

Department of Mathematics

Lakshmi Narayan Mishra, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore-632014, Tamil Nadu, India

Department of Mathematics

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Published

2020-12-30

How to Cite

Sonker, S., Munjal, A., & Mishra, L. N. (2020). Absolute │A; δ │<sub>k</sub> and │A; γ; δ│<sub>k</sub> Summability for n-tupled Triangle Matrices. Journal of Nepal Mathematical Society, 3(2), 27–34. https://doi.org/10.3126/jnms.v3i2.33957

Issue

Vol. 3 No. 2 (2020)

Section

Articles

License

© Nepal Mathematical Society