Absolute │A; δ │<sub>k</sub> and │A; γ; δ│<sub>k</sub> Summability for n-tupled Triangle Matrices
DOI:
https://doi.org/10.3126/jnms.v3i2.33957Keywords:
Absolute Summability, Boundness of Matrix, Infinite Series, Sequence SpaceAbstract
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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© Nepal Mathematical Society