Open AccessAbsolute │A; δ │k and │A; γ; δ│k Summability for n-tupled Triangle Matrices
Author(s) -
Smita Sonker,
Alka Munjal,
Lakshmi Narayan Mishra
Publication year - 2020
Publication title -
journal of nepal mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2616-0161
pISSN - 2616-0153
DOI - 10.3126/jnms.v3i2.33957
Subject(s) - sequence (biology) , mathematics , bounded function , set (abstract data type) , combinatorics , operator (biology) , discrete mathematics , mathematical analysis , computer science , chemistry , biochemistry , repressor , transcription factor , gene , programming language
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.